We know very little specifically about World War II, and Hitler, in the DCEU, for the simple reason that no events have taken place in that time period during the films.
With no evidence that there is any difference in the events of WWII, it is reasonable to assume that there are no substantive differences. Hitler rose to power with the assistance of other generals and supporters, and without Ludendorff's help.
One could make the argument that the rise of Hitler is one of those "fixed points in time" that so many sci-fi series like to discuss, where it's very VERY hard to prevent their happening, and actually succeeding would make such a radical change in history as to fire off paradoxes aplenty.
We have a LOT more information about World War II in the comics, because there were stories being written during that period. The main thing we know is that as powerful as Earth's heroes were at the time, they were largely unable to interact in the war in any major way due to Hitler's use of the Spear of Destiny.
I believe it was Roy Thomas in All Star Squadron who concocted the idea that Hitler used the Spear to create a barrier across most of Europe that prevented "super-heroes" from entering, effectively leaving them out of the battle. A similar artifact (the name of which I'm too lazy to look up) blocked access to the Asian battlefront as well.
This was a contrivance created to answer the eternal question "Why didn't Superman just fly into Berlin, grab Hitler and his cronies, and deliver them to the world court or whatever?" The real-world answer is of course it would result in a wildly different world in the comics, one that might cause people to lose interest in the stories, and possibly even cause a change in military morale. Remember, at the time, many soldiers read comics, and stories were frequently written to prop up morale. There were plenty of tales that centered around "we heroes can't do it all - the brave men of the military are the REAL heroes"