I'm afraid not that much that it would have caused a big change. Training suffered not only from lack of trainers, but also planes and most important: fuel.
All resources were completely overstressed from a very early point on the war, in times of crisis often the only manpower the Luftwaffe could fall back on was coming fom the schools and academies. For example during the Stalingrad crisis they grazed all transport schoools for planes & pilots, many of them never to return again.
They screwed up rather early by NOT making old hands (or some/more of them) into trainers. The Brits would have TOD, then school/training or training others, so the trainers were not domestic, they were fresh from combat.
As for planes, the LW was actually not too badly off.....if you listen to our LW crowd anyway. And indeed their productions hit good numbers late in the war, with the problem being pilot skill more than lack of targets or aircraft.
But then, in the end, lack of spares, fuel etc etc...
As for the German resources being overstressed, the Brits had to start rationing way before the Germans (in months of war) and the German backland of resources was both mostly done on land transport mostly within the range of danger, as well as ruthless exploitation of the goods of the conquered. You must bear in mind that the Axis HAD France, Poland, The Netherlands, and Italy aside with Germany, Austria etc, you had their allies/conquered with their goods, Romania, Hungary, Czechoslovakia...and then problematic things like Greece and Yugoslavia where terrain was difficult and lots of resistance.
But in short, the Axis was sitting on the kitchen of mainland Europe, and I am not counting Norway, Denmark, their business with the Swedes...ohh...as well as their plunder in the Russian front.
So, their backland was quite some. But the logistic in a Nazi world is another story...