The Scot has previously made a similar complaint, citing the club's tough start to the season which saw Manchester United lose at Liverpool and draw 0-0 with Chelsea
Moyes watched his side succumb to a brilliant Manchester City performance, losing 4-1 at the Etihad Stadium in the Manchester derby on Sunday and sit eighth in the table after five matches.
And the Scot lamented the difficult start his side have had - a complaint he has made once before.
He told Sky Sports: "[Our start] could be a lot better but we did say it was a difficult start and I said at the time, the balls the way that they came out of the Premier League bag I wasn't convinced and I'm still not."
United lost 1-0 at Liverpool and were held to a 0-0 draw at Old Trafford by Chelsea earlier in the campaign, and Moyes had no complaints over the heavy loss to their Manchester rivals.
He said: "We didn't play well, they were better. They started much stronger, much quicker than us.
“But we'll get better, there's a long season to go, so we'll put this behind us and move on.
"I thought Manchester City were very good, we weren't, I've got to say, but City started the game really well and we really could have done with going in at half-time 1-0 down.
“Losing the second goal changes it a little bit but they came out strong again in the second half.
"I just think they got a grip of the game early on, we didn't, and we never really got to grips with their midfield players in the early part of the game.
“Because of that, they started dominating. So we had to be stronger, we weren't, but great credit to the lads, they kept going and working away at the end and got a goal back.
"Whatever manager loses a game, you get on in the next one and try and win it. You just play the next game, you see how you go but obviously we'll be doing everything we can to win the next one."
Moyes did reserve special praise for Wayne Rooney, who netted the Red Devils’ consolation goal with a pinpoint free kick in the latter stages, but denied it added a shine to the defeat.
"No it didn't do that,” he added. “What I would say is that I thought Rooney's performance today was outstanding and he certainly didn't deserve to be in a losing team, he was first class."
"You don't want to lose but it doesn't matter who you play, a derby or someone else, you don't want to lose but it does make it worse when you want to do so well for your supporters.
“I thought our supporters were great today under the circumstances."