I bought this reversible ski style cap in Leibermuster style camouflage at a military fair for $15.00. The person that sold it to me didn't know what it was either. The ski cap is super small (toddler size) on my 60cm head without any markings. Could be possibly postwar?
Photo 1:

Summer Side
Photo 2:
https://i.servimg.com/u/f91/20/07/39/42/unknow11.jpg
Photo 3:
https://i.servimg.com/u/f91/20/07/39/42/unknow12.jpg
Autumn Side
Photo 4:
https://i.servimg.com/u/f91/20/07/39/42/unknow13.jpg
Photo 5:
https://i.servimg.com/u/f91/20/07/39/42/unkown10.jpg
Photo 1:

Summer Side
Photo 2:
https://i.servimg.com/u/f91/20/07/39/42/unknow11.jpg
Photo 3:
https://i.servimg.com/u/f91/20/07/39/42/unknow12.jpg
Autumn Side
Photo 4:
https://i.servimg.com/u/f91/20/07/39/42/unknow13.jpg
Photo 5:
https://i.servimg.com/u/f91/20/07/39/42/unkown10.jpg