In two weeks' time the Blues will take on Bayern Munich in the Champions League final, but on Saturday the attention was on Wembley and Chelsea took control with goals from Ramires and Drogba.
The Ivorian became the first player to score in four FA Cup finals, and he maintained his record of having won every one, although Andy Carroll ensured a tense finish.
After the 2-1 victory, Drogba told ITV: "Liverpool are a difficult team to play. Today [Saturday] we achieved a great result because, after losing the game against Newcastle, it was very difficult for us. I'm glad we won today. It's the first step."
Chelsea captain John Terry felt the victory was a perfect response to the Blues' critics at the end of a season of highs and lows.
The defender told ITV: "This is what we live for. It was a great performance. At times people have slated us, saying we're too old, past it, not together. But when the chips are down we come together and we've done that superbly."
It was also another big feather in the cap of interim manager Roberto Di Matteo, who has turned the club's season around since taking over from Andre Villas-Boas in March.
Regarding the Italian's hopes of landing the job on a permanent basis, Terry added: "We've done Robbie the world of good, we've put in a fantastic performance for him and it can't do him any harm."
Di Matteo put the focus on his team's performance and echoed Terry's comments.
"I'm very happy for the players," he told ITV.
"We've been heavily criticised this season and we've got a trophy and we've got the chance for another.
"This group of players have made the club proud. It's been hard work, but we came through it."
Di Matteo has a close relationship with the FA Cup having twice scored goals in finals for Chelsea, beating Middlesbrough in 1997 and Aston Villa in 2000.
He added: "It's quite a unique situation to be able to win as a player and then as a coach. I feel honoured to have had this chance.
"I think we played well today [Saturday]. We scored very good goals. They pressed us hard in the second half but we defended well."
Di Matteo admitted he did not know whether Carroll's header had crossed the line but he preferred to salute the performance of Cech.
Di Matteo said: "From where I was standing I couldn't see. I looked at the linesman and the linesman didn't flag for the goal so I was quite happy for that.
"We have got a great 'keeper and he made a fantastic save today."