The Guardians dropped their series to the Dodgers after getting shut out 4-0 from Los Angeles.
Tanner Bibee earned the loss after giving up two runs on four hits and three walks over five innings.
Jose Ramirez recorded one of the team's six hits.
Cleveland has lost back-to-back games but remains first in the AL Central at 81-and-62.
The Guardians visit the White Sox tonight.