Moses, who is on-loan from Chelsea, had not scored for Brendan Rodgers' side since the 2-2 draw with Swansea in September having found opportunities at Anfield just as hard as at his parent club.
But he is determined to capitalise on a promising display on the south coast and force his way into Rodgers' thinking for Premier League duties.
"It was really important," he said. "I know I haven't been myself for the past few weeks but I just want to kick on from here and try to get a few more goals in the second half of the season. It's crucial for me and the club as well.
"We knew it wasn't going to be an easy game for us. They were a good side. But we came here to make it difficult for them, and we got the early goal.
"In the second half, we came out with more belief in the talent that we've got. We got the second goal and that was game over for them.
"It's up to the manager to pick his own players. I just want to keep on working hard in training and hopefully play as many games as I can."