Problem Solved. The issue is related to filter index. Each filter must have different index:
$ch = curl_init( Helper::getURL() . "orders?searchCriteria[filter_groups][0][filters][0][field]=status" .
"&searchCriteria[filter_groups][0][filters][0][value]=" . $status .
"&searchCriteria[filter_groups][0][filters][0][condition_type]=like" .
"&searchCriteria[filter_groups][1][filters][0][field]=entity_id" .
"&searchCriteria[filter_groups][1][filters][0][value]=" . $idMin .
"&searchCriteria[filter_groups][1][filters][0][condition_type]=gteq" .
"&searchCriteria[filter_groups][2][filters][0][field]=entity_id" .
"&searchCriteria[filter_groups][2][filters][0][value]=" . $idMax .
"&searchCriteria[filter_groups][2][filters][0][condition_type]=lteq" .
"&searchCriteria[pageSize]=500&fields=items[entity_id,customer_email,customer_firstname,customer_lastname,customer_is_guest," .
"increment_id,status,created_at,subtotal,total_paid,total_due,grand_total,shipping_amount,payment[method,amount_paid]," .
"billing_address[city,email,firstname,lastname,postcode,street,telephone,company,region],items[item_id,name,original_price,price," .
"product_id,qty_canceled,qty_invoiced,qty_ordered,qty_refunded,qty_returned,qty_shipped,row_total,sku,discount_amount]]" );
As mentioned in Magento Docs
Logical OR search
The following example searches for all products whose names contain the string Leggings or Parachute. The instances of %25 in the example are converted into the SQL wildcard character %.
GET <host>/rest/<store_code>/V1/products?
searchCriteria[filter_groups][0][filters][0][field]=name&
searchCriteria[filter_groups][0][filters][0][value]=%25Leggings%25&
searchCriteria[filter_groups][0][filters][0][condition_type]=like&
searchCriteria[filter_groups][0][filters][1][field]=name&
searchCriteria[filter_groups][0][filters][1][value]=%25Parachute%25&
searchCriteria[filter_groups][0][filters][1][condition_type]=like
Logical AND search
This sample searches for women’s shorts that are size 31 and costs less than $30. In the CE sample data, women’s shorts have a sku value that begins with WSH. The sku also contains the size and color, such as WSH02-31-Yellow.
GET <host>/rest/<store_code>/V1/products?
searchCriteria[filter_groups][0][filters][0][field]=sku&
searchCriteria[filter_groups][0][filters][0][value]=WSH%2531%25&
searchCriteria[filter_groups][0][filters][0][condition_type]=like&
searchCriteria[filter_groups][1][filters][0][field]=price&
searchCriteria[filter_groups][1][filters][0][value]=30&
searchCriteria[filter_groups][1][filters][0][condition_type]=lt
Best Answer
Look for the grid's listing page like this. The product listing for regular catalog can be found here (it differs for configurable product etc). For your custom attribute's config, add
<item name="filter" xsi:type="string">text</item>and the filter should show up on the header for that field.