On the other hand I did this same thing and what I did was punch a small hole on each side and install RJ45 wall plates on each side of the wall.
I would do that, but it seems I wasn't clear as several people misunderstood. I had said:
the NVR will go in the closet of the bedroom adjacent to the router
This led some folks to think it's back-to-back. Nope -- the two locations are at far walls of adjacent rooms.