I don't know the exact reason, but with Lumia 920, the MOGA controller has so much input lag that almost all games become unplayable.
I disabled all radios except for the Bluetooth. Same thing.
I also contacted Microsoft, Nokia and MOGAanywhere on Twitter. The only ones that answered were the MOGA support team that offered me to replace the device.
What's wrong with this, guys? This isn't a cheap gamepad with a cheap phone. This have to simply work!
Almost 0.4 seconds of delay between pressed until the game actually reacts!!!