The pair praised manager Kenny Dalglish after the Reds secured their first trophy in six years and outlined their ambition to get back into Europe's premier competition
Henry believes the win can help the Merseyside outfit push on after having endured six years without a trophy and a period of uncertainty over the club's ownership.
He said: “It’s great that after all these years with you guys having to write about things off the field that finally you can talk that we’re making progress with what’s going on the field.
“It’s the first step to take us into a direction we want to go. Our supporters have been through so much off the field, to win the silverware for the first time in six years is to bring back the kind of excellence they are used to.
"They want to see that emerge again. The penalty kicks were torturous.”
Werner stated their ambition for the club was to get back into Europe's premier competition and feels their success on Sunday will motivate everyone at Liverpool to achieve that.
He said: “It was a nerve wracking afternoon but a wonderful result and it’s a great day for Liverpool. My nerves were shot. I didn’t watch the penalties, I just heard them.
“Our goal is still to reach the Champions League but this has been a big day for us. I hope this is a statement, even though it’s only one marker it gives us the enthusiasm to move forward.
"There will be a party tonight and we will have a parade in the hotel.”
Both men also praised the work of manager Kenny Dalglish in securing the League Cup despite the scrutiny surrounding Liverpool's status as favourites for the final.
Werner said: “There was a lot of pressure on Kenny today so we’re relieved for him because the expectations were so high. It’s a wonderful day for him.
"He deserves an enormous amount of credit and now we can move on.”
Henry added: “The hard part has been getting the right people in place and thanks to Kenny and Damien [Comolli] we’ve done that.
“There is understandable concern when you buy a club and we understand that, but as time goes buy we think both Liverpool and Red Sox fans will see there is a synergy between us all.”
How do you stay up to date with football when on the move? With http://m.goal.com – your best source for mobile coverage of the beautiful game.