SELECT 
  SQL_CALC_FOUND_ROWS products.product_id, 
  IF(
    shared_descr.product_id IS NOT NULL, 
    shared_descr.product, descr1.product
  ) as product, 
  companies.company as company_name, 
  products.product_type, 
  products.parent_product_id 
FROM 
  cscart_products as products 
  LEFT JOIN cscart_product_descriptions as descr1 ON descr1.product_id = products.product_id 
  AND descr1.lang_code = 'ru' 
  LEFT JOIN cscart_product_prices as prices ON prices.product_id = products.product_id 
  AND prices.lower_limit = 1 
  LEFT JOIN cscart_companies AS companies ON companies.company_id = products.company_id 
  INNER JOIN cscart_products_categories as products_categories ON products_categories.product_id = products.product_id 
  INNER JOIN cscart_categories ON cscart_categories.category_id = products_categories.category_id 
  AND (
    cscart_categories.usergroup_ids = '' 
    OR FIND_IN_SET(
      0, cscart_categories.usergroup_ids
    ) 
    OR FIND_IN_SET(
      1, cscart_categories.usergroup_ids
    )
  ) 
  AND cscart_categories.status IN ('A', 'H') 
  AND cscart_categories.storefront_id IN (0, 1) 
  LEFT JOIN cscart_ult_product_descriptions shared_descr ON shared_descr.product_id = products.product_id 
  AND shared_descr.company_id = 1 
  AND shared_descr.lang_code = 'ru' 
WHERE 
  1 
  AND cscart_categories.category_id IN (
    166, 167, 165, 168, 169, 170, 171, 172, 
    201, 174, 190, 191, 193, 194, 195, 175, 
    176, 185, 186, 187, 188, 189, 202, 177, 
    178, 179, 180, 181, 182, 196, 197, 198, 
    199, 200, 234, 235, 236, 237, 238, 240, 
    254, 263, 255
  ) 
  AND companies.status IN ('A') 
  AND (
    products.usergroup_ids = '' 
    OR FIND_IN_SET(0, products.usergroup_ids) 
    OR FIND_IN_SET(1, products.usergroup_ids)
  ) 
  AND products.status IN ('A') 
  AND prices.usergroup_id IN (0, 0, 1) 
  AND products.parent_product_id = 0 
GROUP BY 
  products.product_id 
ORDER BY 
  product asc, 
  products.product_id ASC 
LIMIT 
  0, 32

Query time 0.00600

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost": 0.808561965,
    "filesort": {
      "sort_key": "if(shared_descr.product_id is not null,shared_descr.product,descr1.product), products.product_id",
      "temporary_table": {
        "nested_loop": [
          {
            "table": {
              "table_name": "companies",
              "access_type": "ALL",
              "possible_keys": ["PRIMARY"],
              "loops": 1,
              "rows": 1,
              "cost": 0.0110178,
              "filtered": 100,
              "attached_condition": "companies.`status` = 'A'"
            }
          },
          {
            "block-nl-join": {
              "table": {
                "table_name": "cscart_categories",
                "access_type": "ALL",
                "possible_keys": ["PRIMARY", "c_status", "p_category_id"],
                "loops": 1,
                "rows": 83,
                "cost": 0.028437904,
                "filtered": 51.80722809,
                "attached_condition": "cscart_categories.category_id in (166,167,165,168,169,170,171,172,201,174,190,191,193,194,195,175,176,185,186,187,188,189,202,177,178,179,180,181,182,196,197,198,199,200,234,235,236,237,238,240,254,263,255) and (cscart_categories.usergroup_ids = '' or find_in_set(0,cscart_categories.usergroup_ids) or find_in_set(1,cscart_categories.usergroup_ids)) and cscart_categories.`status` in ('A','H') and cscart_categories.storefront_id in (0,1)"
              },
              "buffer_type": "flat",
              "buffer_size": "8Kb",
              "join_type": "BNL",
              "attached_condition": "cscart_categories.usergroup_ids = '' or find_in_set(0,cscart_categories.usergroup_ids) or find_in_set(1,cscart_categories.usergroup_ids)"
            }
          },
          {
            "table": {
              "table_name": "products_categories",
              "access_type": "ref",
              "possible_keys": ["PRIMARY", "pt"],
              "key": "PRIMARY",
              "key_length": "3",
              "used_key_parts": ["category_id"],
              "ref": ["lvshop.cscart_categories.category_id"],
              "loops": 43,
              "rows": 4,
              "cost": 0.06332271,
              "filtered": 100
            }
          },
          {
            "table": {
              "table_name": "products",
              "access_type": "eq_ref",
              "possible_keys": ["PRIMARY", "status", "idx_parent_product_id"],
              "key": "PRIMARY",
              "key_length": "3",
              "used_key_parts": ["product_id"],
              "ref": ["lvshop.products_categories.product_id"],
              "loops": 172,
              "rows": 1,
              "cost": 0.15875888,
              "filtered": 98.38056946,
              "attached_condition": "products.parent_product_id = 0 and products.company_id = companies.company_id and (products.usergroup_ids = '' or find_in_set(0,products.usergroup_ids) or find_in_set(1,products.usergroup_ids)) and products.`status` = 'A'"
            }
          },
          {
            "table": {
              "table_name": "shared_descr",
              "access_type": "eq_ref",
              "possible_keys": ["PRIMARY", "product_id", "company_id"],
              "key": "PRIMARY",
              "key_length": "13",
              "used_key_parts": ["product_id", "lang_code", "company_id"],
              "ref": ["lvshop.products_categories.product_id", "const", "const"],
              "loops": 169.2145749,
              "rows": 1,
              "cost": 0.152171484,
              "filtered": 100,
              "attached_condition": "trigcond(shared_descr.lang_code = 'ru')"
            }
          },
          {
            "table": {
              "table_name": "descr1",
              "access_type": "eq_ref",
              "possible_keys": ["PRIMARY", "product_id"],
              "key": "PRIMARY",
              "key_length": "9",
              "used_key_parts": ["product_id", "lang_code"],
              "ref": ["lvshop.products_categories.product_id", "const"],
              "loops": 169.2145749,
              "rows": 1,
              "cost": 0.230814684,
              "filtered": 100,
              "attached_condition": "trigcond(descr1.lang_code = 'ru')"
            }
          },
          {
            "table": {
              "table_name": "prices",
              "access_type": "ref",
              "possible_keys": [
                "usergroup",
                "product_id",
                "lower_limit",
                "usergroup_id"
              ],
              "key": "usergroup",
              "key_length": "3",
              "used_key_parts": ["product_id"],
              "ref": ["lvshop.products_categories.product_id"],
              "loops": 169.2145749,
              "rows": 1,
              "cost": 0.164038503,
              "filtered": 97.62845612,
              "attached_condition": "prices.lower_limit = 1 and prices.usergroup_id in (0,0,1)"
            }
          }
        ]
      }
    }
  }
}

Result

product_id product company_name product_type parent_product_id
148 16GB A Series Walkman Video MP3 CS-Cart P 0
180 18-55mm Portrait Lens CS-Cart P 0
18 3D Blu-ray Disc™ Player (BD-D7000) CS-Cart P 0
16 3D Blu-ray Disc™ Player (BD-D7500) CS-Cart P 0
4 40" Class (40.0" Diag.) LED 5003 Series TV CS-Cart P 0
5 46" Class (45.9" Diag.) LCD 610 Series TV CS-Cart P 0
23 5.1 Channel Blu-ray 3D Home Theater System CS-Cart P 0
24 5.1 Channel Blu-ray 3D Home Theater System CS-Cart P 0
1 65" Class (64.5" Diag.) LED 8000 Series Smart TV CS-Cart P 0
22 7.1 Channel Blu-ray 3D Home Theater System CS-Cart P 0
149 8GB E Series Walkman Video MP3 CS-Cart P 0
227 Acer 3D Series HN274H bmiiid CS-Cart P 0
190 AF-S DX NIKKOR 10-24mm f/3.5-4.5G ED CS-Cart P 0
189 AF-S NIKKOR 14-24mm f/2.8G ED CS-Cart P 0
245 Apple - iPhone 5c 32GB Cell Phone - Green CS-Cart P 0
238 Apple iPhone 4S Black CS-Cart P 0
239 Apple iPhone 4S White CS-Cart P 0
242 Apple iPod Classic Black CS-Cart P 0
243 Apple iPod Classic White CS-Cart P 0
241 Apple® - iPad® with Retina® display Wi-Fi - 32GB - White CS-Cart P 0
240 Apple® - iPad® with Retina® display Wi-Fi - 64GB - Black CS-Cart P 0
214 ASUS CP6130 CS-Cart P 0
217 ASUS CP6230 CS-Cart P 0
218 ASUS Essentio CP1130 CS-Cart P 0
207 Asus USB-N53 CS-Cart P 0
59 AVH-P4400BH CS-Cart P 0
58 AVH-P8400BH CS-Cart P 0
60 AVIC-Z130BT CS-Cart P 0
172 Compact Full HD Camcorder CS-Cart P 0
134 Creative ZEN Style M300 MP3 Player 16GB (Black) CS-Cart P 0
135 Creative ZEN Touch 2 MP3 Player 8GB (Black) CS-Cart P 0
168 D300S (Body Only) CS-Cart P 0