Sogard went 1-for-3 with a two-run homer and a strikeout during Tuesday's 4-2 loss to Texas.
Sandoval (1-6) took the loss against Texas on Tuesday, allowing four runs on four hits and two walks over 2.2 innings. He struck out five.
The Yankees optioned Hanner to Triple-A Scranton/Wilkes-Barre after Tuesday's game against the Twins.
Mead (wrist) will begin hitting off a tee Wednesday, Chris Cotillo of MassLive.com reports.
Interim manager Chad Tracy said Tuesday that Slaten (elbow) will not return from the injured list this season, Chris Cotillo of MassLive.com reports.
Judge is not in the lineup for Tuesday's contest in Minnesota.
Wells went 1-for-4 with a solo home run against Minnesota in an 8-3 win Monday.
Story went 2-for-4 with two RBI in Sunday's 4-1 win over the Royals.
Contreras started at first base and went 2-for-3 with a walk and a run scored in Sunday's 4-1 win over Kansas City.
Chapman worked around two walks to earn the save Sunday against the Royals, striking out three in a hitless and scoreless ninth inning.
