1. Register Rest API endpoint. Documentation.
2. Add the Query for the registered Rest API endpoint. Documentation.
3. Build Listing based on this Query. Documentation.
4. Add filters you need. Don’t forget to set Query Variable for the filter. Documentation.
5. The magic goes here. In the Query settings add a query arguments you want to filter Rest API query by – https://tppr.me/qM98qu Please note: API endpoint you’re using must support these arguments! Use macros JetSmartFilters Query as dynamic value of these arguments – https://tppr.me/h8oRmF. In the Query Variable control of the macros you need to set the same name as you set in Query Variable control of  the appropriate filter.

Also please note:
Filter pass the value as a plain string, so this method will be work only with APIs which are support the same format of the arguments.