Laudrup was pleased for Moore. The former Aston Villa man has found first-team opportunities hard to come by thanks to the sensational performances of Michu.
Moore's previous Premier League goal came almost a year ago against Manchester City, and Laudrup said: "It is good for Luke to come in and score in a very important game.
"He has helped us to reach 40 points a week after the cup win and it has made this a really great week.
"He has been out of the side for several weeks but when we have rotated the squad we have tended to do well."