That is a nice photo. Every General Luftzeugmeister photo that I have seen has different insignia or the same insignia but not in the same place on the uniform.
One sees G on one collar and L on the other in some photos, but in your last photo the GL is on the right collar. Also the GL badge is not worn in your last photo
but has been replaced with small pin type metal insignia. His tunic pocket flaps are of the scalloped type which remind me of the Austrian pre-war uniform.
Your top photo shows the Luftwaffe eagle worn on the tunic but seems to be missing in the other two photos. Also GL is on his shoulder straps.
So it would seem that there wasn't any uniform/insignia standardisation in that organisation.