Liverpool secured silverware in Klopp's final season.
Virgil van Dijk's extra-time header secured a 1-0 win over Chelsea.
The final was goalless after 90 minutes with both teams denied by VAR.
Liverpool won a record-extending 10th Carabao Cup title.
Despite missing key players, Liverpool battled to victory.
Chelsea's pursuit of silverware under Pochettino ended in defeat.
Caoimhin Kelleher made a crucial early save from Cole Palmer.
Liverpool lost Ryan Gravenberch to injury early in the first half.
VAR disallowed a Van Dijk goal due to Wataru Endo being offside.
Youngsters James McConnell and Jayden Danns made late appearances for Liverpool.