"I’d have to say it’s the best [display] so far [in my time at United] because of the goals and we’ve not done it in a game of this magnitude. But I want us to do it regularly.
"I hope I can continue the standards set before I came here and that’s what I plan to do. The team’s performance tonight showed that. It’s what’s expected here, doing well in the league and cups and I’ll try to keep that going."
Moyes is aware that the overall task is not yet finished as Shakhtar Donetsk could still pip the Reds to top spot in Group A with victory at Old Trafford in the final fixture.
"The job is to make sure you qualify," he added. "The next job is to win the group. We want to do well in all competitions. We're in a good run of form, we had a slip-up on Sunday but, in the main, we're doing well. I'm pleased that we're improving all the time."
David Moyes was speaking to Sky Sports and at the post-match press conference.