What you are looking for is the Barbarossa decree, laid out on the 13th of May 1941 by Hitler. Here is the exact text of the key parts of the decree detailing the prosecution of German troops for crimes committed on the eastern front, and you can find a full translation on the page I've linked. I am afraid I don't know the exact implications of this decree (in terms of how it actually effected sentencing) but it seems to suggest that German troops would not be prosecuted for many crimes, including actions that would be considered crimes had they been committed in Germany itself.

1. For acts which members of the Wehrmacht or its retinue commit against enemy civilians, there is no compulsion to prosecute, even when the act represents at the same time a military crime or offense.

2. In judging such deeds it is to be considered in any proceedings that the collapse in the year 1918, the later period of suffering of the German people, and the battle against National Socialism with the movement’s countless sacrifices of blood are incontestably to be attributed to Bolshevik influence, and that no German has forgotten that.

3. The chairman of the court must therefore examine whether a disciplinary reprimand is appropriate or whether it is necessary to institute judicial proceedings. The chairman only orders court-martial proceedings for acts against native inhabitants, when the maintenance of discipline or the protection of the troops demands it. That applies, for example, in the case of serious acts that result from the loss of sexual restraint, are derived from a criminal disposition, or are a sign that the troops are threatening to run wild. Criminal acts, by which lodgings or supplies or other plunder are senselessly destroyed to the detriment of our own troops, are not on the whole to be judged more leniently.

http://users.clas.ufl.edu/ggiles/barbaros.html