Well, as they debuted last night, their theme song is the same one that can be heard in the background of all the training videos with the announcer guy doing the intro. It's pretty good, I don't think it is a real song but it's not bad as far as made for Raw music goes.
Hi! :) I have looked for that aswell for weeks! and I found out that there is no actual name for it, and that it is just called Neji Theme song, or TenTen Theme song, which ever one you prefer! Neji's Theme song is faster than TenTen's :) Hope this helps! :)