A dreadful start eventually saw Getafe lose out despite a spirited second-half recovery. For all that late effort, Getafe just couldn't do enough.
Mata opened the scoring after just four minutes with a great header after Silva's cross, and then former Geta man Alexis did much the same, although both Tena and Ustari could have done more.
Granero gave Geta a glimpse of hope on half-time after converting a stonewall penalty, and while Villa was denied one of his own just after the break, it eventually didn't matter after Morientes headed home the third and final goal from close range after Osky could only parry Baraja's long-range free kick.
Celestini was then given a straight red for a late challenge on Silva right at the death to end what has been a wholly unsatisfying evening for Getafe fans.
Regardless of the damp squib that was the final, it has been a miraculous season to reach both a second successive cup final and the UEFA Cup quarters - and it's not over yet. Hopefully by Sunday we'll be safe and sound in the Liga, and we can try it all again.