The otho has prescribed Lidocaine patches of 5% does the use of this require reporting to the FAA?
Yes, if you fill that prescription you will have to report it on your next medical application. Whether the FAA allows you to fly while using it is another question to which I don't know the answer. I have found some indications in web pages on lidocaine of possible allergic reactions as well as drowsiness, eyesight problems, and a few other things you wouldn't want to happen in the cockpit, so regardless of anything else, you probably wouldn't want to fly until you've been using the patches a while and know they don't have any aviation-unfriendly side effect in you.
However,if you are currently flying under Basic Med, there is no medication database. It's use would be reported on your next exam, it is the pilots responsibility to self-certify that they are fit to fly.