The two teams face each other at Stamford Bridge on Saturday in the Premier League.
Whether the outcome of this game will have any bearing on Saturday's battle for three points remains to be seen.
Former Chelsea FC defender Townsend lavished praise on Hazard for his brilliant victor to seal the west London side's place in the League Cu fourth round.
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The exchange left Pogba with a quizzical expression and he proceeded to walk past his coach offering further observations. Manchester United manager Jose Mourinho has confirmed that Paul Pogba will no longer serve as the club's vice-captain.
Although Klopp threw on Roberto Firmino and Mo Salah in the closing stages, an attempt to salvage the tie for Liverpool, Chelsea were able to hold on to claim a big victory. The Carabao Cup is not the be-all and end-all for Liverpool, but they need to mark their obvious improvement with a trophy - any trophy.
Alberto Moreno once again showed that he is not good enough defensively at left-back, so Klopp will have to hope that Andy Robertson remains fit and available.
Liverpool took the lead in the second half thanks to a Daniel Sturridge overhead kick.
As it's a cup tie, and the English giants go head to head again this weekend, it's nearly certain both managers Sarri and Klopp will be looking to rest some of their players and play some youngsters so they get some fresh legs for the weekend fixture.
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Though the priority remains the league and Europe, this presented a must-watch clash in the third round, and a barometer of the depth in both squads.
Chelsea fans can count their blessings the Belgian stayed in west London this season after speculation with a move to Real Madrid started to gain serious traction, and given the departure of Cristiano Ronaldo, Los Blancos may seriously need the Chelsea talisman in the near future - especially if you consider tonight's defeat against Sevilla.
Standing in Liverpool's way, however, were Maurizio Sarri's Chelsea, who arrived at Anfield for the first of two back-to-back games between the pair.
Chelsea made a bright start to the Carabao Cup third-round clash at Anfield, where Alvaro Morata nearly gave them the lead.
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