Unai Emery’s side took the lead through Rogers’ stunning strike late in the first half at Villa Park.
Matheus Cunha levelled for United moments later but Rogers bagged his sixth goal in his last six league appearances after the interval to clinch Villa’s 10th successive victory in all competitions.
Unai Emery’s third-placed side are just three points adrift of leaders Arsenal and one behind second-placed Manchester City as they chase a first English title since 1981.
Villa are on their best winning run in all competitions since 1914, when they secured 11 successive victories.
They have won seven consecutive top-flight matches for the first time since 1989-90, when they finished second under Graham Taylor.
Villa’s ascent into the title race is even more remarkable as it comes after their worst start to a league campaign for 28 years, featuring just two points and one goal scored in their opening five matches.
Emery has turned Villa Park into a fortress, with just one Premier League home defeat in 2025, fewer than any other team.
Arsenal have already lost there this season and even United, beaten just once in their previous 26 trips to Villa, were unable to derail Emery’s title charge.
Seventh-placed United’s second defeat in their last 11 league matches left them winless in their last two games after the 4-4 draw with Bournemouth on Monday.
Adding to Ruben Amorim’s problems, United captain Bruno Fernandes was forced off at half-time with an apparent hamstring issue.
Fernandes’ injury couldn’t have come at a worse time for Amorim, who was without seven players against Villa.
Harry Maguire, Matthijs de Ligt and Kobbie Mainoo were injured, Casemiro was suspended, while Amad Diallo, Bryan Mbeumo and Noussair Mazraoui are at the Africa Cup of Nations. (AFP)