Moyes was unable to contain his emotions at the Amex Stadium when Beto struck in the seventh minute of stoppage-time to cancel out Pascal Gross' 73rd-minute opener.
The Scot's delirious dash forced referee Chris Kavanagh to show him a yellow card for leaving the managers' technical area on the touchline.
Moyes' joyful pitch invasion was reminiscent of David Pleat dancing onto the Maine Road pitch after his Luton side avoided relegation from the top-flight on the final day of the 1982/83 season with a win against Manchester City.
Moyes briefly contemplated capping his memorable celebration with a knee slide.
And although the 62-year-old thought better of that idea in the end, he insisted the yellow card will not curb his enthusiasm in future.
"I hope you're not going to call me 'Pleaty' going forward," Moyes said.
"The difference is David Pleat doesn't get booked for it, they think it's OK and everybody enjoys seeing the celebrations.
"We're killing it that the managers can't come out of their technical area to celebrate a goal, knee sliding, do things which give you people quite a bit to talk about."
Asked if he would do it again, Moyes replied: "I bloody will do it again!
"Actually, if I'd been a bit more mobile, I might have done a knee slide. That would only have got me a yellow as well, so I might as well have gone the whole hog."
