With the rook on e5 to start, there are a number of mates in 2 as discussed. However, with the rook on e6, Bb6 is mate in two. For instance

1. Bb6 d2 2. Qb3 mate or 1. ... N any 2. Qc5 mate or 1. ... Kc3 2. Qc1 or 1. ... Kc5 2. Qxd3 or 1. ... Ke4 2. Qxe4

With the rook on e6, Bb6 is mate in two. For instance

1. Bb6 d2 2. Qb3 mate or 1. ... N any 2. Qc5 mate or 1. ... Kc3 2. Qc1 or 1. ... Kc5 2. Qxd3 or 1. ... Ke4 2. Qxe4