At face value it sounds like he can’t handle you being better at something than he is.
We as individuals should be able to handle our partners being better at something than us. My wife, for instance has the potential to be a much better climber than me, and I think that’s great, but then again I’ve dealt with my insecurities (of which I have many!)
So you either need to help him through this, as it’s down to his self confidence and self image. Is he like this at other stuff? Would he play a game (scrabble for instance) that you would often beat him at?
Or DTMFA, there are plenty more fish in the sea, many of whom do need a bicycle.