Takeback twice is unnecessary

In my opinion, a take back option could be included in the create a game area or in the filter area. Then, if player A says yes to takebacks, he would only see other available players that picked this feature also. Meanwhile, player B who doesn't want takebacks would select it, and in turn would only see players in this category. I believed this would make most players happy.

I think it's a waste of time to restrict the players whom you can verse. If it were to be done, I imagine it would be done similar to other chess services where you select an account option along the lines of "allow takeback requests". With this option disabled, in the chat-box a message would appear saying 'player A has disabled takeback requests' or the contrary 'player A has allowed takeback requests'. If either player has disabled take back requests, neither player will be able to request takebacks.

In my opinion, there's no need to limit who you can play against with regards to takebacks as you can severely limit your ability to get a game.

I agree, a filter would be too restrictive. However, I'm always annoyed and confused when my takeback requests only cancel my opponent's move, while my blunder stays on the board. I agree that "take back my last move" makes a lot more sense.

Well maybe you could let the takeback the way it is but only for games > 30 mins, on the other side for quick or rated games this option is kinda unnecessary..