Rogers's neat flick three minutes after the restart cancelled out Lukas Nmecha's opener, before the England international crashed home a stunning free-kick in the 75th minute. 

Villa's Elland Road comeback propelled it to fourth in the table having won six of its last seven top-flight outings, but it was made to work for its victory. 

An electric start by Leeds was rewarded in the eighth minute when Nmecha bundled the ball over the line, despite Emiliano Martinez believing he was fouled in the build-up. 

Brenden Aaronson then rippled the side netting from Jayden Bogle's cross as Leeds hunted a second goal, with Emery turning to his bench at the break. 

Half-time substitute Donyell Malen made an immediate impact on proceedings, with his delivery into the box brilliantly flicked into the bottom-left corner by Rogers in the 48th minute.

Villa's improved display after the restart saw the quiet Ollie Watkins force Lucas Perri into a smart stop, but another alteration played a crucial role in the winning goal. 

Ross Barkley was upended by Pascal Struijk, allowing Rogers the opportunity to step up and plant a sensational free-kick into the net, but Villa were kept on their toes late on. 

Attempting to atone for his earlier error, Struijk met Sean Longstaff's teasing set-piece with a powerful header, but Martinez was on hand to repel the effort and seal the victory. 

Dominic Calvert-Lewin also thought he had equalised just two minutes after Rogers's second goal, but after a VAR check, it was ruled he had turned Dan James's cross-shot home with his hand.