In the warez scene, “keygen” (key generator) is a program that illegally generates serial numbers or activation codes for commercial software. The “BTCR” part is likely an abbreviation for a specific piece of software—possibly:
Professional audio and video editing environments such as Cockos REAPER.
You download the keygen, run it, it displays a fake “generated” license key, and you paste that into the target app to unlock the “pro” version.