Well… the Allies took over the prisons during the post-war occupation. So, logically, the Allies did it. They may have ameliorated the conditions under which they made them serve the time for their convictions under German law.

One of the folks I follow, who happens to be a trans-activist, shared how the law under which those nazi convicted LGBTQ were sentenced. You may read it here: https://medium.com/@jaimiehileman/yes-paragraph-175-of-the-german-constitution-from-the-founding-of-the-modern-german-state-out-of-ec5d29296bf5