SELECT 
  * 
FROM 
  cscart_mb_salvage_cases 
WHERE 
  auction_product_id IN (
    10180, 10181, 10182, 10187, 10190, 10193, 
    10196, 10197, 10208, 10209, 10216, 
    10217, 10221, 10224, 10226, 10227
  ) 
  OR sale_product_id IN (
    10180, 10181, 10182, 10187, 10190, 10193, 
    10196, 10197, 10208, 10209, 10216, 
    10217, 10221, 10224, 10226, 10227
  ) 
ORDER BY 
  updated_at DESC, 
  case_id DESC

Query time 0.00034

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 (10180,10181,10182,10187,10190,10193,10196,10197,10208,10209,10216,10217,10221,10224,10226,10227) or cscart_mb_salvage_cases.sale_product_id in (10180,10181,10182,10187,10190,10193,10196,10197,10208,10209,10216,10217,10221,10224,10226,10227)"
        }
      }
    }
  }
}