6-1-2-f says A20 is prohibited from returning inbounds after he steps out of bounds at the A-48. However, in this play, A does not return inbounds. 4-1-2 says a player is out of bounds when any part of his person touches anything, other than another player or game official, on or outside a boundary line. There is no definition for a player being inbounds. In this case, A20 is in the air and not touching anything when he bats the kick, so he is not out of bounds. 6-1-3 says that all A players become eligible to touch, recover or catch the kick once the kick breaks the plane of and remains beyond Team B's restraining line. In this case the ball has remained beyond Team B's restraining line, the A-45, so A20 is eligible to touch it. So, to sum up: The kick is still live, the ball has traveled 10 yards making all A players eligible to touch it, and A20 is not out of bounds when he bats the kick. So, we would not have illegal touching.
The A player is prohibited from batting the ball forward (9-4-1-c). After reviewing the video, the bat is almost too close to call as far as being forward or backward. It looks like the A player makes contact with the ball at the A49 and the B player comes down with it at right around the same yard line. I probably would not call the illegal bat on this one.
I would rule: B 1/10 @ A-49, snap/25