I think the first move is 1.Rxb6
Rxb6 gxh6 (...Rxh6 b7 and no matter what Black plays, White will play b8=Q (or b8=R). If neither ...Rxh6 or ...gxh6 is played, there is just 2.Rxh8#.) 2.g7 and then Black moves the rook. (If black moves king, then there is gxh8=Q# (or qxh8=R#.). After this, there is b7 then b8=Q# or b8=R#.
I think the first move is 1.Rxb6