Search between dates in a single column or two columns doesnt works

I have tried all day every single way from StackOverflow and git but none works, I really need it.
This is the last code I tried
this.productSoruce.setFilter([
{
field: 'start',
search: ['2020-01-01' , '2021-01-01'],
filter: (value: string, searchValue: string) =>{
console.log('FILTER END DATE: value:' + value + ', endValue :' + searchValue[0]);
console.log('FILTER BEGIN DATE: value:' + value + ', endValue :' + searchValue[1]);
return (new Date(value) >= new Date(searchValue[0]) && (new Date(value) <= new Date(searchValue[1])) )
}
}]);