"City started very fast, we lost a goal after 40 or so seconds and because of that we were on the back foot right away," Moyes admitted on MUTV.
"I thought we got to grips with the game after 15 minutes. We were better then and maybe a little unfortunate not to get a goal back before half-time. I thought we were a little careless a couple of times going forward - we didn't pick out the right cross or the right pass. That was the disappointing thing for me."
Even though United entered the break still trailing, the margin was slender enough to encourage Moyes and the watching faithful. The boss said: "The message at half-time [to the players] was: 'Look, we're right in this game. Let's make sure we do things and let's get a goal back as the half wears on.'"
As it was, the better start to the second half was made by City, who piled on the pressure again. But the United boss felt some of his players were the architects of their own downfall as Dzeko stole in to convert Samir Nasri's corner with