The attacking trio of Sadio Mane, Sturridge, and Phillipe Coutinho created problems for the Chelsea defence who was missing their talisman John Terry.
Jordan Henderson of Liverpool scores the second goal during the Premier League match between Chelsea and Liverpool at Stamford Bridge on September 16, 2016, in London, England. "I needed to put Hazard closer to Diego". Liverpool, more energetic and inventive, was 2-0 up in about half an hour and controlled proceedings for an hour. Then it's hard to create chances.
It was the first defeat in his new team for the Italian, and the first home defeat in three and a half years as a club manager.
Liverpool comfortably saw out their second successive win at Stamford Bridge, inflicting Antonio Conte's first competitive defeat since taking over at the Blues in the process.
If Liverpool were dynamic and fluent, the opposite was true of Chelsea. "In the second half our approach was good, we scored and could have had another through Costa".
The Netherlands midfielder joined the Reds this summer from Newcastle after scoring 11 times last season.
"It was very intense, very lively and very flexible", Klopp said.
The Blues fell behind early in the first half when an unmarked Dejan Lovren slotted in the opener at the back post. Lucas Moura and Augustin scored the remaining goals of the match.
It was Liverpool's fifth away game so far this season as they prepare for yet another away fixture at Derby County in the League Cup. "Not a lot of chances for them".
"Thibaut Courtois on stilts with elastic arms wouldn't have got to it". The Spain striker adjusted smartly but fired his shot straight into the grateful arms of Simon Mignolet.