[1] The couple had one daughter, Marianne Moog-Hoff (1921-1999), who during World War II emigrated to Oslo, Norway and married a Norwegian.
In the early 1930s, Moog faced severe problems with the Nazi government, who ruled the federal state of Braunschweig, impersonated by president Dietrich Klagges, before Adolf Hitler came into power.
In 1919, he accomplished his habilitation at Universität Greifswald with the book on Logik, Psychologie und Psychologismus, a then well-known classic on the interdisciplinary debates of psychologism.
In 1930, his renowned book Hegel und die Hegelsche Schule was published and received international attention.
Moog was well connected to the philosophers of his time, among them Moritz Schlick, Ernst Cassirer, Arthur Liebert, Helmuth Plessner, Heinrich Scholz, and Max Wentscher.