SELECT 
  * 
FROM 
  cscart_mb_salvage_cases 
WHERE 
  auction_product_id IN (
    10256, 10257, 10274, 10275, 10282, 10285, 
    10293, 10294, 10295, 10297, 10301, 
    10303, 10306, 10307, 10309, 10315
  ) 
  OR sale_product_id IN (
    10256, 10257, 10274, 10275, 10282, 10285, 
    10293, 10294, 10295, 10297, 10301, 
    10303, 10306, 10307, 10309, 10315
  ) 
ORDER BY 
  updated_at DESC, 
  case_id DESC

Query time 0.00030

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 (10256,10257,10274,10275,10282,10285,10293,10294,10295,10297,10301,10303,10306,10307,10309,10315) or cscart_mb_salvage_cases.sale_product_id in (10256,10257,10274,10275,10282,10285,10293,10294,10295,10297,10301,10303,10306,10307,10309,10315)"
        }
      }
    }
  }
}