Beckford struck twice in the first half to ease the Toffees into mid-table in the Barclays Premier League with a 2-0 success at Goodison Park.
Moyes said: "When we brought him to the club, the idea was we brought him on slowly and we had to put him in a bit too early. But I always thought if he got his chance and played some games he would get goals and he is proving that.
"If you move up the divisions you have to try to compete with better players. The defenders are better, they are stronger, faster and have better concentration. You have to move up and learn that.
"It has been a big step up for him - it is for any player to jump up two divisions - and it was going to take time.
"He has got to improve on other aspects of his game but I think his movement in the box is as good as I have seen from a lot of the best - he can lose defenders and go one way and then the other. He is fantastic at that."M
Source: PA
Source: PA