Moyes told BBC Sport that he was disappointed with the way his team played in the early stages but is ultimately happy with a point.
He said: "It was a hard-earned point, we worked really hard to get back in to the game. We didn't start well, but Wigan did.
"We kept at it and deserved to get a goal back. I thought we had another penalty shout with Nikica Jelavic in the second half which should have been given."
The comeback keeps Everton in third place in the Premier League and continues a bright start to the season for Moyes's side.