Panzer hat: real or not?

[Lonewolf414]

I have recently purchased a Hat that appears to be a m-34 panzer troop cap what I want to know is if its real or not

Pros:
Has Age to it
The Brand that made it (G.u.F) was a uniform company during ww2

Cons:
Not wool most m-34 are made of wool
Also all the m-34s I've seen have a Piece of cloth buttoned on but mine doesn't.
Whats the patch mean

Any help will be appreciated

Ps: The tag on the inside say

G.u.F brand
Q/B52F/F0136/F4450
30.1.86
Gr.57
8405-12-120-3127

[Walkwolf]

This is a Bundeswehr cap. It is from January 30th, 1986...................!

[Lonewolf414]

thanks for the help

[davejb]

If you notice, it also has modern day washing instructions on the label