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 (
    540, 546, 2823, 2869, 541, 547, 2139, 
    1869, 2796, 2797, 2743, 2853, 2658, 
    2777, 969
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00088

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "21.01"
    },
    "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": 30,
      "rows_produced_per_join": 30,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (540,546,2823,2869,541,547,2139,1869,2796,2797,2743,2853,2658,2777,969)) and (`zdrowy_db`.`cscart_seo_names`.`type` = 'p') and (`zdrowy_db`.`cscart_seo_names`.`dispatch` = '') and (`zdrowy_db`.`cscart_seo_names`.`lang_code` = 'ru') and ((`zdrowy_db`.`cscart_seo_names`.`company_id` = 1) or (`zdrowy_db`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "18.01",
        "eval_cost": "3.00",
        "prefix_cost": "21.01",
        "data_read_per_join": "50K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
540 ip-2000d-pvh-chern-27517770-up140 294/298
541 ip-27-23812790-up300 294/298
546 ip1500-140sht-kor-dno-chernoe-protek 294/298
547 ip1500-kryshka-140sht-kor 294/298
969 pr-k-9-m-550sht-kor 294/298
1869 konteyner-kr-26-2-av-21511575-300-sht-kor 294/298
2139 kr-11a-konteyner-pischevoy-140-h-110-h-65-mm-up-500-sht 294/298
2658 pr-k-7-a-pet-konteyner-odnorazovyy-s-nerazemnoy-kryshkoy-21513572-mm-350-sht-kor 294/298
2743 pr-k-6-ip-6-konteyner-odnorazovyy-s-nerazemnoy-kryshkoy-15813767-mm-up320sht 294/298
2777 pr-k-8-a-konteyner-odnorazovyy-s-nerazemnoy-kryshkoy-14011055-mm-450sht-up 294/298
2796 konteyner-kr-6-15813767-450sht-up 294/298
2797 konteyner-kr-7-a-21513572-400sht-up 294/298
2823 ip-10-av-konteyner-odnorazovyy-s-nerazemnoy-kryshkoy-12012060-mm-up600-sht 294/298
2853 pr-k-30-konteyner-odnorazovyy-s-nerazemnoy-kryshkoy-23517265-mm-250-sht-up 294/298
2869 ip-19-avs-konteyner-odnorazovyy-s-nerazemnoy-kryshkoy-21211455-mm-300sht-kor 294/298