Easiest thing to do would be to try another known-working non-RB4 drumset if possible. Unfortunately your options would be limited if on Xbox One, since you'd need the legacy adapter and I don't recall if the band-in-a-box came with one. PS4 is easier, you just need the drumset and dongle.
I have no personal experience with the RB4 kit, so hopefully other people can chime in with more specific troubleshooting steps. But what I outlined above will hopefully rule out other issues, like A/V issues or human error.