SELECT 
  * 
FROM 
  cscart_mb_salvage_cases 
WHERE 
  auction_product_id IN (
    10316, 10317, 10319, 10321, 10323, 10327, 
    10328, 10329, 10337, 10339, 10341, 
    10354, 10360, 10362, 10368, 10369
  ) 
  OR sale_product_id IN (
    10316, 10317, 10319, 10321, 10323, 10327, 
    10328, 10329, 10337, 10339, 10341, 
    10354, 10360, 10362, 10368, 10369
  ) 
ORDER BY 
  updated_at DESC, 
  case_id DESC

Query time 0.00031

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 (10316,10317,10319,10321,10323,10327,10328,10329,10337,10339,10341,10354,10360,10362,10368,10369) or cscart_mb_salvage_cases.sale_product_id in (10316,10317,10319,10321,10323,10327,10328,10329,10337,10339,10341,10354,10360,10362,10368,10369)"
        }
      }
    }
  }
}