SELECT 
  * 
FROM 
  cscart_mb_salvage_cases 
WHERE 
  auction_product_id IN (
    10526, 10527, 10535, 10537, 10538, 10539, 
    10540, 10541, 10542, 10543, 10544, 
    10557, 10558, 10559, 10562, 10563
  ) 
  OR sale_product_id IN (
    10526, 10527, 10535, 10537, 10538, 10539, 
    10540, 10541, 10542, 10543, 10544, 
    10557, 10558, 10559, 10562, 10563
  ) 
ORDER BY 
  updated_at DESC, 
  case_id DESC

Query time 0.00027

JSON explain

{
  "query_block": {
    "select_id": 1,
    "read_sorted_file": {
      "filesort": {
        "sort_key": "cscart_mb_salvage_cases.updated_at desc, cscart_mb_salvage_cases.case_id desc",
        "table": {
          "table_name": "cscart_mb_salvage_cases",
          "access_type": "ALL",
          "rows": 58,
          "filtered": 100,
          "attached_condition": "cscart_mb_salvage_cases.auction_product_id in (10526,10527,10535,10537,10538,10539,10540,10541,10542,10543,10544,10557,10558,10559,10562,10563) or cscart_mb_salvage_cases.sale_product_id in (10526,10527,10535,10537,10538,10539,10540,10541,10542,10543,10544,10557,10558,10559,10562,10563)"
        }
      }
    }
  }
}