Turning to the goals United conceded, the manager said the first one - scored by former Reds striker Fraizer Campbell - was well crafted but he felt his players were the architects of their own downfall for the deflating second strike.
"You have to look at all goals you concede as being poor goals but I have to say that Cardiff made two fantastic passes in the build up to their first goal. I’m not sure that they'd be able to make those passes again but today it came off and they got the goal.
"The second goal was a really poor one to let in. We should never have given away that free-kick and put ourselves in a tough position.
"Just before it, there was a bit of a melee in the box [involving Gary Medel and Marouane Fellaini]. The referee must have seen something because he stopped the play and it gave Peter Whittingham another to chance to set himself up and get his cross in. It disrupted our concentration.
"We didn't play well enough in the second half," the manager added. "We gave too many free-kicks and we allowed Cardiff to punt a lot into the box and we had to defend [against that]. For the majority of it we defended fine, we did most of the job well. But we didn't defend the cross in from the free-kick."
Moyes refused to put the result down to the absences of senior players such as the injured Robin van Persie, Shinji