SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    2000, 2001, 395, 420, 385, 405, 410, 413, 
    1970, 417, 1937, 414, 425, 407, 323, 
    389, 402, 1972, 388, 426
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'en' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00075

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "96.01"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 40,
      "rows_produced_per_join": 40,
      "filtered": "100.00",
      "index_condition": "((`eshopuga_upgr_4122`.`cscart_seo_names`.`object_id` in (2000,2001,395,420,385,405,410,413,1970,417,1937,414,425,407,323,389,402,1972,388,426)) and (`eshopuga_upgr_4122`.`cscart_seo_names`.`type` = 'p') and (`eshopuga_upgr_4122`.`cscart_seo_names`.`dispatch` = '') and (`eshopuga_upgr_4122`.`cscart_seo_names`.`lang_code` = 'en') and ((`eshopuga_upgr_4122`.`cscart_seo_names`.`company_id` = 1) or (`eshopuga_upgr_4122`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "88.01",
        "eval_cost": "8.00",
        "prefix_cost": "96.01",
        "data_read_per_join": "67K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
323 simply-splendid 328/335/349
385 red-rose-romance 328/336/337
388 splendid-awesomeness 328/336/337
389 simply-yellow 328/336/337
395 red-in-bloom 328/336/337
402 killing-me-softly 328/336/337
405 anything-for-u 328/336/337
407 simply-elegant 328/336/337
410 at-last 328/336/337
413 anything-for-love 328/336/337
414 mix-with-daisies 328/336/337
417 red-with-lillies 328/336/337
420 red-mixed-up 328/336/337
425 shine-in-style 328/336/337
426 lots-of-energy 328/336/337
1937 red-yellow-pink-basket 329/361
1970 red-roses-bouquet-vase 329/361
1972 sparkling-beauty-bouquet 329/361
2000 rashma-red-roses 332/396
2001 rashma-red-roses-clone 332/396