SELECT 
  * 
FROM 
  cscart_mb_salvage_cases 
WHERE 
  auction_product_id IN (
    23343, 23344, 23345, 23346, 23347, 23348, 
    23349, 23350, 23351, 23352, 23353, 
    23354, 23355, 23356, 23357, 23358
  ) 
  OR sale_product_id IN (
    23343, 23344, 23345, 23346, 23347, 23348, 
    23349, 23350, 23351, 23352, 23353, 
    23354, 23355, 23356, 23357, 23358
  ) 
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 (23343,23344,23345,23346,23347,23348,23349,23350,23351,23352,23353,23354,23355,23356,23357,23358) or cscart_mb_salvage_cases.sale_product_id in (23343,23344,23345,23346,23347,23348,23349,23350,23351,23352,23353,23354,23355,23356,23357,23358)"
        }
      }
    }
  }
}