SELECT 
  * 
FROM 
  cscart_mb_salvage_cases 
WHERE 
  auction_product_id IN (
    10228, 10229, 10232, 10233, 10235, 10236, 
    10242, 10243, 10244, 10245, 10246, 
    10247, 10248, 10249, 10250, 10251
  ) 
  OR sale_product_id IN (
    10228, 10229, 10232, 10233, 10235, 10236, 
    10242, 10243, 10244, 10245, 10246, 
    10247, 10248, 10249, 10250, 10251
  ) 
ORDER BY 
  updated_at DESC, 
  case_id DESC

Query time 0.00026

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 (10228,10229,10232,10233,10235,10236,10242,10243,10244,10245,10246,10247,10248,10249,10250,10251) or cscart_mb_salvage_cases.sale_product_id in (10228,10229,10232,10233,10235,10236,10242,10243,10244,10245,10246,10247,10248,10249,10250,10251)"
        }
      }
    }
  }
}