"We knew we needed that second goal because we expected Everton to put us under a lot of pressure after the break and that's how it proved," Giggs told MUTV.
"They got in about us, got the ball forward to Louis [Saha] and Yakubu who are both a handful, and in general made it difficult for us.
"We should have been able to overcome that though because it's something we're used to. But unfortunately we couldn't really get back into our rhythm and we just didn't pass and move as well as we did before the break.
"When you go 1-0 ahead at a place like this you do feel it's two points dropped," added the 34-year-old. "But in the end we could have lost it. So we're disappointed, but know it could have been worse."