7 months? You've been looking at the same problem for 7 months?? Am I missing something here?

You guys have the wrong solution to this mate in 2 puzzle, 1-QA2 can also be followed by 2-Kc6 which would be more then 2 moves to mate.

1-Qb8+  then the king only has either A6 or c6 to move to and then white moves the queen 2-Q b6# and mates for either move!

If you'd read a few comments above your own, you'd have seen the answer to your query (#40 repeated above in #41)...

1.Qa2 Kc6 ( 1...Kxa8 2.c8=Q# ) ( 1...Nc8 2.d8=N# ) ( 1...Nc6 2.c8=Q# ) 2.Qd5#

i.e. after ...Kc6,  2.Qd5 checkmates (I suppose you meant 1...Kc6 & not 2...Kc6 ?)

As for your solution:  1. Qb8+ Kc6 2. Qb6+ Kxd7  and the king escapes via d7 - no mate in 2 moves!