Everton won 2-0 via goals from Michael Keane and Idrissa Gueye.
Moyes told evertontv: "I thought we were better. They still had a period, midway through the second half but I thought we played well today again. I have to say, I think we've been playing well. We've not been maybe getting the goals to go with it."
"We've wanted to try to become a much better footballing team and the players we've brought in have helped us to do that.
"We don't want to lose what we've had – desire, heart, commitment – but I think we had to try to find a way of getting a little bit better at certain things and I think we have to build. Look, I trust the owners will help us in all the windows as we go forward and we'll try to make things better as we go along.
"We need to get people believing in Everton like we do, like the supporters here do, and what we want us to be in the future. To do that we need to keep picking up the wins and attracting top players like Kiernan (Dewsbury-Hall) and Jack Grealish and players of that ilk. We need to keep attracting that level of players to come to the Club."
On Everton's goalscorers, Moyes added: "I was really pleased for them. Gana is actually beginning to become a goalscoring midfield player. I think everybody knows Keano's got the ability to score. But for me, the biggest thing was scoring from a set piece. I talk about it every day. And I think about it every day to try to find ways, how are we going to score? Why are we not scoring? What can we do better to get it?
"But today we got one, thankfully."