The 19-year-old played in midfield - before switching to defence when Rio Ferdinand was replaced in the second half - and got on the end of a Nani cross to show great composure in front of goal with 20 minutes gone.
After admitting recently during a recent ManUtd.com webchat that he wasn't sure how he'd celebrate, he decided to point to the bench after receiving some light-hearted stick from Meulensteen.
"I'm delighted to score but it wasn't about the goal," he stressed to MUTV. "It was about three points and I thought the lads did exceptionally well. We knew it was going to be a hard-fought game as Villa are a tough team to beat at home but we played terrifically well.
"After last week, when I stuck one in the back of my own net, I was delighted to score and get off the mark. I signalled to Rene as he was giving me a bit of stick for not scoring. It's just a coincidence that I scored today so I gave him a point of the finger!"
Sir Alex also had a chuckle about the celebration, adding: "We'd kept winding him up and saying: 'We paid £16million for you and we can't even get a shot off you!' The staff have been giving him stick so he was very, very pleased."
Jones, meanwhile, was satisfied with the performance and another clean sheet ahead of the important trip to Basel in midweek.
"We probably should have killed the game off," he added. "We had chances in the first half and second half but we're happy with the clean sheet and the performance.