The field cap worn by Stauffenberg in North Africa at the beginning of the movie has two metal insignia pinned to the front. Actual caps had cloth sew-on insignia. Also, Stauffenberg wears a neatly knotted tie, but ties were not worn by German troops anywhere in the front lines, especially in the heat of the North African desert.
After Stauffenberg loses an eye and a hand in North Africa, he is shown wearing the Black or Silver Wound Badge on his uniform. He should be wearing the Gold Wound Badge, which was awarded for very serious wounds such as his.