Looks like some type of mess dress, but doesn't match exactly to the BW LW ones here:
BW Heer Officers mess jacket......
Thank you! Maybe a private purchase piece?
Nope, standard issue. I have one just like it. I don't remember what distinguishes it from the type without pockets, but IIRC it's the more recent version of the jacket. Here's one on eBay:
Smoking Oberstleutnant Bundeswehr Gesellschaftsuniform Uniform Heer schwarz | eBay
Big help, thank you Steve! : - )