The Reds arrived on the back of four successive wins but were second best from the moment Morgan Schneiderlin opened the scoring after six minutes.
A deflected Rickie Lambert free-kick inflicted further damage before Philippe Coutinho's injury-time strike offered signs of life in the visitors.
But there was no Reds fightback as Jay Rodriguez was allowed to waltz into the penalty area unopposed to seal the points 10 minutes from time.
"I think we set out the game in a very positive way," Pochettino said.
"Most importantly the players believed in the way we set up. I think we made Liverpool really uncomfortable on the pitch.
"We pressed them quite a lot and we put in a really big effort.
"That's the way that we want to play. We wanted to play really high up the field in their half.
"We knew that their attacking prowess is based on the threat of Gerrard, Suarez and Coutinho and we neutralised that threat.
"I think my team played really well."