Data range search filter with two variables in one column

Like in title. I use data range search code from datatables documentation like:

<script>
var minDate, maxDate;
 
 // Custom filtering function which will search data in column four between two values
 $.fn.dataTable.ext.search.push(
     function( settings, data, dataIndex ) {
         if ($('#min').val() != '') {
           var min = new Date($('#min').val());
           console.log(min);
         } else {
           var min = null;
         }
         if ($('#max').val() != '') {
           var max = new Date($('#max').val());
           console.log(min);
          
         } else {
           var max = null;
         }
         var date = new Date( data[6] );
         console.log(date);
  
         if (
             ( min === null && max === null ) ||
             ( min === null && date <= max ) ||
             ( min <= date   && max === null ) ||
             ( min <= date   && date <= max )
         ) {
             return true;
         }
         return false;
     }
 );

$(document).ready(function() {
$('#example').DataTable();
minDate = new DateTime($('#min'), {
         format: 'YYYY-MM-DD'
        });
maxDate = new DateTime($('#max'), {
         format: 'YYYY-MM-DD'
        });
var table = $('#example').DataTable();

    $('#filtr_nazw').on( 'change', function () {      
    table.columns(0).search( this.value ).draw();
    } );
    $('#filtr_zadan').on('change', function () {
    table.columns(1).search( this.value ).draw();
    } );
    $('#filtr_zlecen').on('change', function () {
    table.columns(2).search( this.value ).draw();
    } );
    $('#filtr_firm').on('change', function () {
    table.columns(3).search( this.value ).draw();
    } );
    $('#filtr_pracownikow').on('change', function () {
    table.columns(4).search( this.value ).draw();
    } );
    $('#filtr_rns').on( 'change', function () {
    table.columns(8).search( this.value ).draw();
    } );
    $('#filtr_opisu').on( 'change', function () {
    table.columns(9).search( this.value ).draw();
    } );
    $('#min, #max').on('change', function () {    
    table.draw();
 });
});
</script>

but when i try to search dates there is nothing. Inspect show invalid date error. There are two variables in one column in the table like :

  <td>
                            {{ $job->start_date ?? '' }} 
                            {{ Carbon\Carbon::parse($job->start)->format('h:i') }}
 </td>

when i delete second variable everythink is ok, search filter works. Is there any way i can filter by these two values?