Thanks for the photos! I figured you would be familiar with this sort of cap, but I did not want to assume.
I've never seen anything quite like this. The blue fake fur is typical of Soviet and, to a lesser extent, Eastern Bloc countries. But the design isn't something I'm familiar with, though it is based on a US design (which the Bundeswehr type is also). Also, yours has the remains of a cloth tag in it and most of the Soviet and Eastern Bloc countries use ink stamps.
The three distinct features of your hat are:
2. Blue fake fur
3. Loop of fake fur