The 28-year-old has been the subject of fierce scrutiny by supporters in 2013/14, but his contribution proved pivotal in United's victory over the Bluebirds.
The England international has now scored three goals in his last seven appearances and believes there is more to come from him and his team.
"Of course I should score more," he told MUTV. "I set myself targets at the start of the season and I'm on my way. Hopefully I can build on that.
"I'm delighted to get on the scoresheet, but the most important thing was getting the three points and we've done that. We could have had a few more goals but we set out to get the three points and we've done that.
"We were frustrated that it was only 2-0, we spoke about it after the game and there were more goals to get. We got the victory and felt comfortable, so we're delighted. We will build on this."
Speaking about his goal, Young said: "It ranks up there with my best. As soon as I struck it, I thought it had a good chance of going in and I think I was celebrating before it hit the back of the net."
United recently acquired Juan Mata from Chelsea for a club-record £37.1 millon, and manager David Moyes wants to build on the renewed optimism around Old Trafford.
The Scot is confident Young is capable of maintaining his recent form and is pleased with the winger's response after a lacklustre start to the season.
"Everybody knows that Ash is capable of that and I am pleased for him because he worked hard, there is a lot of competition for places and he is pushing hard to play," Moyes told MUTV.
"He will do if he keeps coming up with some goals or creating goals. Ash put the cross in for Antonio Valencia to hit the bar which led to Robin van Persie’s goal, so he had an assist in one and scored the other. Well done to him."
