Chelsea produced an emphatic display to book a place in the Carling Cup last eight at the expense of Aston Villa.
Shevchenko finished his chance well
Frank Lampard opened the scoring when he glanced home a header from Michael Ballack's delivery, before Andriy Shevchenko nodded home the second.
Michael Essien made it 3-0 when he brilliantly finished from 12 yards and Didier Drogba tucked in the fourth converting Salomon Kalou's pass.
Under-par Villa lost Gareth Barry and Martin Laursen to injury.
Jose Mourinho's Chelsea were keen to make amends for their weekend slip-up against Tottenham.
And the Portuguese manager's intentions were clear when he fielded an almost full-strength team.
He had already stated that Chelsea would be treating this competition seriously and a lively start from the side underlined that.
Villa keeper Thomas Sorensen was called into action early in the game parrying Drogba's fierce shot away before saving again from the lively Ivorian.
Lampard (centre) celebrates his first-half goal
Drogba, who has arguably been Mourinho's most consistent performer this season, was unlucky not to have played team-mate Essien in after good work around the area, but saw his final ball cleared by the alert Olof Mellberg.
Villa were sturdy in defence up until 15 minutes before the break when Ballack stole the ball from Steven Davis and delivered an inviting ball for Lampard, who nodded in.
Worse news was to follow for Martin O'Neill's men just before the break when Barry came off with an injury following a collision with Ricardo Carvalho, while Laursen was substituted before the restart having picked up a knee injury.
Patrik Berger and Liam Ridgewell came into the XI as O'Neill shuffled his team around in hope of an equaliser.
But Chelsea were in no mood to give the visitors an inch with Drogba almost pulling off a picturebook goal with a scissor-kick.
606 DEBATE: Give your thoughts on the match
Then Shevchenko, who had a relatively quiet game, came to life.
The £30m Ukraine striker tested Sorensen with a curling shot from outside the area before not giving the Danish keeper a chance with a well-placed header to make it 2-0.
Chelsea moved up a gear as Villa moved down one.
Essien, who had a superb game, finished off a silky move to slam home the the third for the Blues before Drogba rounded things off by slotting home late in game.
The game was marred by an incident which saw a bottle thrown on to the pitch.
Referee Mike Halsey passed the item on to the fourth official in the second half and is expected to note down the event in his report.
Lampard was also seen to pick up a coin that may have also been thrown on to the playing surface.
Chelsea assistant boss Steve Clarke was delighted with Chelsea as they bounced back from the defeat against Tottenham:
"To win was important, but I don't think we played poorly against Spurs.
"We put out a strong side because we've always respected the Carling Cup. It was good game between two top Premiership teams.
"For us to control the game in the manner we did was very pleasing."
Aston Villa boss Martin O'Neill:
"We were well beaten. We have much work to do and we know that.
"We played here a couple of weeks ago and got off to a poor start but then played well. But we didn't do that at Stamford Bridge.
"In the second half I thought Chelsea were really excellent and we were unable to cope with them."
Chelsea: Cudicini, Geremi, Boulahrouz, Ricardo Carvalho, Bridge, Makelele (Diarra 85), Lampard, Essien, Ballack (Joe Cole 75), Shevchenko (Kalou 75), Drogba.
Subs Not Used: Hilario, Wright-Phillips.
Goals: Lampard 32, Shevchenko 65, Essien 82, Drogba 84.
Aston Villa: Sorensen, Bouma, Mellberg, Laursen (Ridgewell 46), Hughes, Barry (Berger 45), McCann, Petrov, Davis (Baros 71), Agbonlahor, Angel.
Subs Not Used: Taylor, Osbourne.
Booked: McCann, Ridgewell.
Ref: M Halsey (Lancashire).