A fellow new recruit in Ronald Araujo came on for Jacquet at the start of the second half.
Como, who have qualified for this season's league phase of the Champions League, carried more of a threat after the break.
Alisson saved from Anastasios Douvikas and Martin Baturina, while Rodriguez struck the side-netting.
The visitors' pursuit of a route back into the game did give Liverpool opportunities to counter-attack, one of which saw Isak fire off target at the end of a flowing move.
Assane Diao threatened to wipe out Liverpool's clean sheet twice in quick succession, whipping an effort just over the bar and then glancing a header wide.
In the closing seconds, Ryan Gravenberch wedged a shot out under his feet that sailed onto the woodwork ahead of Alisson batting away an attempted lob from Douvikas.
**Team**
Liverpool: Alisson, Van Dijk, Jacquet (Araujo, 46), Kerkez, Wirtz (Nyoni, 73), Szoboszlai, Isak (W. Wright, 84), Gakpo (Munoz, 73), Frimpong, Gravenberch, Ngumoha (Koumas, 62).
Unused subs: Davies, Ndiaye.
**Attendance:** 59,800