Bauer, born in Germany, was part of the "Der Sturm" avant-garde group. He first showed with the group in 1915. The group was probably the most important art group in Berlin at the time. Bauer was also an illustrator who worked for popular magazines of the time.
I have seen other work by Bauer and some of it reminded me of Kandinsky although less geometric. Check out this untitled piece from 1919. Bauer is a well known and well regarded artist but many with only moderate interest in art from the era may not be aware of his work. He is well worth researching. The Guggenheim has some of his most significant pieces in their collection.
Feininger was a German-America artist. The artist grew up in New York but moved to Germany as a young man. He is known for seascapes and paintings depicting architecture. Unsurprisingly he was part of the Bauhaus movement and was a leading proponent of Expressionism. The painting below, Afterglow II, seems sort of atypical, less precise than some of his other work.