The company does hold the TMNT games license, but it hasn't announced the game as yet, and there's no sign of it on any official Xbox listings. We've reached out to Activision to see if we can lure more info out of its shell.
In the interim, the typically reliable @lifelower has already shared purported screenshots of the game on Twitter, and it's a bit familiar to say the least. There's a bit less fruit, maybe, and certainly more Pizza Hut boxes. The cheevos themselves don't give much to go on, except there are specific challenges for each of the turtles. Also, if you like posting wacky images of yourself to Facebook, there's a cool 50G in it for you - you party dude, you.
Finally, the box art underlines Training Lair is probably a tie-in to the upcoming movie. That means we can expect more info around August 8, when the film is due to hit cinemas.