Schalke have been fined €50,000 for racist chants their fans made during last week's German Cup win against Hertha Berlin.
Bayern Munich's insatiable striker Robert Lewandowski struck twice as they saw off Hoffenheim 4-3 at home in German Cup action.
Hertha Berlin defender Jordan Torunarigha was sent off in the defeat at Schalke only minutes after receiving racial slurs.
Eintracht Frankfurt's Filip Kostic scored twice in a 3-1 German Cup win over last year's finalists RB Leipzig on Tuesday.
Werder Bremen stunned Borussia Dortmund despite goals from in-form striker Erling Haaland and U.S. youngster Giovanni Reyna.
Borussia Dortmund's Julian Brandt scored twice in three minutes late in the second half to help them come from a goal down and beat visitors Borussi
Nürnberg full-back Enrico Valentini was forced to play goalkeeper for his side's 6-5 penalty shootout defeat at Kaiserslautern in the DFB Pokal.
Holders Bayern Munich recovered from an own goal to avoid a humiliating German Cup second-round exit by beating VfL Bochum 2-1.
Holders Bayern Munich eased past fourth-tier Energie Cottbus 3-1 with goals from Robert Lewandowski, Kingsley Coman and Leon Goretzka on Monday.
Bayern Munich secured a domestic double after beating RB Leipzig 3-0 in the DFB Pokal final at the Olympiastadion in Berlin on Saturday.