The Reds weathered a barrage of pressure during the first half of the second leg at Etihad Stadium and conceded within two minutes as Gabriel Jesus knocked a finish past Loris Karius.
But having survived City’s onslaught, Klopp’s men slowly took control after the interval and Mohamed Salah’s 39th goal of the season left the hosts with a mountain to climb.
The comeback never looked likely from then on and, instead, Roberto Firmino robbed Nicolas Otamendi and netted to give Liverpool a victory on the night.
Reflecting on the triumph, Klopp praised the determination and conviction of his players, explained a crucial tactical switch and assessed the standard of the competition.