One other point to consider is WHY the Germans didn't build more divisions in 1941-42, when the manpower wasn't completely exhausted. They knew before they went into the Soviet Union that they could only supply X amount of troops, and there was a shortage of raw materials already, so there was no reason to build up industry in advance beyond what was already in operation, since more troops and heavy equipment that couldn't be supplied or maintained at the front would accomplish nothing, even if the raw materials were available to produce more military goods. Most industrial development takes at least a year or two until it's constructed, organized, and working at more than a fraction of its capacity, so anything that wasn't already in operation in 1940 wasn't going to be useful until 1942, by which time Germany expected the war to have been pretty much decided, if not completely over. When it became apparent that the push in 1941 was not going to be sufficient, there really wasn't much that the Germans could do about it. There were insufficient raw materials to produce more equipment, insufficient manpower to run the existing factories if the front-line forces were to be expanded, and insufficient transport available to get it there if it were produced.
The Soviets had outside help in reorganizing its industry, most notably from Henry Ford. Germany never implemented assembly-line production on the massive scale that the Soviets and Americans managed to do.
Probably most importantly, Germany's army was fighting in practically every direction against a host of countries on land, sea, and air, while the Soviets were primarily fighting a ground war on a single front against a single badly overstretched main opponent with a few weak and under-equipped helpers who didn't want to be there in the first place and resisted Hitler's efforts to increase their commitment to the war at every opportunity. Hitler's unwillingness to provide heavy weapons to his allies of questionable loyalty is understandable, but it kept those allies from being more than marginally useful.
Granted, improved manufacturing processes and increased automation would likely have increased the amount of material which could be produced by a smaller work force, allowing some additional manpower to be recruited, but there weren't enough raw materials for any substantial increase in total production, and most of those improved automated processes required oil in quantities that Germany could not spare. Speer's "economic miracle" consisted of a combination of earlier projects coming to fruition, the exhausting of a few remaining stockpiles in a last-ditch effort to make one last push, or robbing Peter to pay Paul. Building more planes that you can't afford to fuel isn't helpful. There was no solution to Germany's problems by that point, and a lost war was only a matter of time.
The Soviets, in the mean time, were able to rely on the US and UK to provide numerous items which were then not needed to be produced by the Soviets, allowing the Soviets to concentrate on producing larger quantities of what they did build, as well as freeing up some manpower for conscription in the process. Comparing Soviet production of specific war goods to Germany's production ignores all of the items that the Soviets did not need to make, or only produced in smaller quantities, due to lend-lease.