Villa scored a hat-trick in the last round against Brighton
Derby progressed to the Carling Cup quarter-finals at the expense of Leeds thanks to first-half goals from Emanuel Villa and Nathan Ellington.
Villa got the better of Lubomir Michalik and, with a curling left-foot shot, gave the home side an early lead.
Ellington doubled the advantage with a simple tap-in after great work by Kris Commons before Luciano Becchio's header from eight yards halved the deficit.
Leeds dominated after the break with Jermaine Beckford going close.
It was an audacious 35-yard effort from Leeds' substitute striker and the shot would have left the backpedalling Roy Carroll red faced had it hit the target.
The visitors twice came close to an equaliser either side of the hour mark, with Robert Snodgrass' curling free-kick clipping the outside of a post before Carroll was called into action to keep out Andy Robinson's well-struck 10-yard effort.
But Derby held on to reach the last eight of the League Cup for the first time since 1990.
The home side got off to the best possible start when Villa, hat-trick hero from the previous round against Brighton, opened the scoring in the sixth minute with a superb solo effort.
In the 11th minute, Paul Connolly deflected Becchio's goal-bound effort over the crossbar but then the home side doubled their lead in exquisite style.
Commons played a neat one-two with Przemyslaw Kazmierczak on the edge of the area, Commons then dummied to shoot before rolling the ball to Ellington for his fifth goal of the competition.
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