Trailing to James Justin’s 28th-minute opener, the Blues produced a stronger second-half performance, with Thierno Barry scoring his fourth goal in five league games to equalise.
Moyes brought on Jarrad Branthwaite and Kiernan Dewsbury-Hall after injuries, while Iliman Ndiaye, Idrissa Gana Gueye, and Charly Alcaraz returned from AFCON or fitness breaks.
"I think the levels of the players we were bringing on and players who can play, and it gave us a bit more control in the game,” said Moyes.
"We passed it and controlled it a bit better. We're still way short of where maybe we've been. We're still not making enough chances and creating enough opportunities for people to score.
"(Jarrad and Kiernan) – these two boys are starters for us, for our football club, but they're not ready to start yet. Jarrad's played no football – he's trained but he's been out for the best part of eight months. Kieran's been playing, obviously, and picked up a hamstring injury. So I was a bit more sure he would be okay.
"But we had to introduce them to try something to see if we could change how the momentum was going. Leeds were better than us in the first half. We didn't organise well against them and because of that, I wouldn't say they dominated, but they had a good chunk of the first half."