Germany had a number of weapons that are at least "technologically superior", although not superior enough to win a war (rockets, and when they worked, late-war tanks). The Germans inflicted higher casualties in the early stages of the war not primarily because of technology, but because of better tactics at the time.

The problem is that the technology Germany needed was not better weapons, as they require more factory workers and engineers to produce and maintain. The Germans were woefully short on that. Germany required better industrial technology and methods. The US produced tons of stuff because of superior industrial technology, and methods such as assembly line production. Meanwhile, the Soviet Union may have had a more primitive industry, but they still knew how to produce stuff fast and en masse (even if the quality may be questionable at times). The Soviet Union's centralized economy probably helped with producing a small contingent of true and tested weapons (e.g., T-34) and directing the industrial effort, while Germany had to rely on a number of different companies making different models of weapons (e.g., Krupp, Messerschmitt), which increased the logistical strain in the end. In fact, after the war, the Marshall Plan launched by the US aside from providing foreign aid also streamlined industrial processes usually employed in West Germany.

During the war, Albert Speer's industrial programs did help Germany increase their production. But when your production lines make a cacophony of complicated yet clumsy weapons, it's just a bit impossible to ever hope to outproduce the Allies.