As our comrade alludes to, you're thinking of accreditation, but I just wanted to add that such a thing usually only applies to educational requirements for degrees,* e.g. that your physics students know the vast majority of X body of content based on being that body being taught and tested. You can have absolute horseshit in elective courses (or even in the fat of mandatory courses, I think), and all of this is a world away from what you can print in your paper or have in presentations on campus, which is pretty much unrelated to accreditation so long as you aren't breaking the law or something.

I completely agree that it should be illegal, but it's not.

*On a state-by-state basis, there is also the matter of if your school itself is "licensed" (I believe this is the legal issue Trump "University" tripped over), but I don't really know how that works tbh