The United defeat was Villa's fifth in the eight Barclays Premier League matches they have played at Villa Park this term. They have won two of those games and drawn the other.
They have accrued more points on the road, winning three times, drawing three times and losing twice, but overall they have triumphed just once in their last five fixtures.
And regarding his 11th-placed side, who next travel to Stoke on Saturday before hosting Crystal Palace on Boxing Day, Lambert said: "There's no point feeling sorry for ourselves.
"We have to bounce back as quick as we can.
"Whether you win, lose or draw, you look at it for a couple of days but then let it go. That's something we will do.
"We seem to be doing things the wrong way around - getting good results away from home and struggling at home.
"I always say your home form has got to be good (for you) to have any chance.
"It's something we have to rectify."
Lambert felt Villa started well against United but expressed his disappointment at the manner in which the goals - scored by Danny Welbeck in the 15th and 18th minutes and Tom Cleverley in the 52nd - had been conceded.
But a key positive he took from the contest was the performance of Marc Albrighton on what was his first Villa league start of the season.
Regarding the wide man, who was recently on loan at Wigan, Lambert said: "Marc did great. He was excellent.
"That was his first start in the Premier League for a long time, due to injuries.
"I thought his performance was very good. He put some great balls in. His work-rate and energy was great.
"He was definitely the plus out there."
Lambert has revealed midfielder Chris Herd missed the United game because of a facial injury and it remains to be seen whether or not he will be available for the Stoke encounter.
And regarding defender and captain Ron Vlaar, who has been sidelined by a calf problem, the manager said: "Ron is doing alright at the moment.
"Whether Stoke is too early for him, I will have to wait and see."
Vlaar has sat out the last two matches after coming off at half-time in the 3-2 win at Southampton.
The Holland international said on www.avfc.co.uk: "Like any other player, I do everything possible to remain at peak fitness but I felt my calf during the first half at St Mary's and it really stiffened up at half-time so there was no point in continuing.
"I was just delighted that the lads emerged from a very difficult game with all three points after a remarkable 3-2 win.
"Hopefully it won't be too long before I'm back because I remember how infuriating it was to be out of action last winter."
Forward Gabriel Agbonlahor will definitely not feature against Stoke due to suspension after picking up his fifth yellow card of the season in the United game, but midfielder Fabian Delph is set to return having now completed the ban he was serving for the same reason.