8BitDo Ultimate C 2.4G Wireless Controller 

With Batocera? Got it working on my Pi4, with rgbpi have click the button while booting the pi in order to Pair

It has a 1tb retropie image on the sd card, works just fine and very little lag. Had a ps5 controller using Bluetooth but way too laggy.

Do not know if it will work, try to press B on the remote while powering the shield, if not, contact 8bitdo.

@@kaboratech I'll try that. I sent 2 emails over to 8bitdo already. Waiting on their reply.