Lowe entered Tuesday's game as a pinch hitter and went 0-for-2 in a 6-2 loss to the Mets.
Lowe, who was acquired from the Reds on Monday, opened his first game with Cleveland on the bench against a left-handed starter. He pinch hit for Rhys Hoskins once a right-handed reliever entered the game and finished out the contest at first base. With the Guardians demoting Kyle Manzardo to Triple-A Columbus on Monday, Lowe is expected to serve as the primary first baseman against right-handed starters.