Game controller Remapping topic

I have two game controllers, the Ouya Controller and the Logitech F710. Both are excellent for the Fire TV, but I continue to have issues with game compatibility. Some games work flawlessly, others certain buttons do nothing in the game. I've also got the Ouya system apps setup and working well, but there seems to be a lot of controller issues with it. I figured that having the Ouya Controller with the Ouya system apps would reduce controller compatibility. This is not the case. I'm looking for ways to remap the game controllers. I've tried Tincore Keymapper and it works for onscreen controls fairly well. What about actually remapping a controller. Ideally, if I could trick the FTV to thinking one of these controllers was an actual FTV controller, I think that would be the way to go. I'm looking for ideas or apps to try and accomplish this.