After Eden Hazard's punishment was offset by a fine solo objective from Raheem Sterling, Liverpool came closest to securing triumph, with Steven Gerrard quite hitting the post.
Liverpool have now gone 10 recreations without thrashing in all rivalries and Rodgers voiced certainty after the first leg that his side would complete the occupation at Stamford Bridge.
Risk's objective gives Chelsea a slight preference, however away objectives might be looked into if the diversion completions level toward the end of additional time.
The groups' gathering has been given an additional dash of interest by reports that Liverpool midfielder Jordan Henderson and Chelsea striker Diego Costa conflicted in the passage after a week ago's amusement.
Both groups will review key players in the wake of rolling out improvements for the weekend's FA Cup matches.
Thibaut Courtois, Branislav Ivanovic, John Terry, Nemanja Matic, Cesc Fabregas, Willian, Hazard and Costa were all let alone for Chelsea's beginning XI for the stun misfortune to Bradford.
Liverpool, in the interim, are required to review chief Gerrard after he sat out the draw with Bolton.
Tuesday's match holds exceptional essentialness for Gerrard, who is urgent to end his Liverpool profession with a trophy in his grasp before withdrawing for the Los Angeles Galaxy toward the end of the season.
And staying alive in the FA Cup, Liverpool are because of tackle Besiktas in the Europa League one month from now, yet the League Cup as of now speaks to Gerrard's best any desire for closing down with some flatware.
For Liverpool to achieve the last, where either Tottenham Hotspur or Sheffield United anticipate, Rodgers may need to claim triumph over his previous guide Mourinho surprisingly.
The Northern Irishman worked under the Portuguese amid Mourinho's first stretch at Chelsea and has neglected to show signs of improvement of him in their four experiences to date, losing three times and drawing once.