It's not really an "institutional bias" against men though. Some programs are skewed highly toward men. Others are skewed highly toward women. There are biases in both directions and when they average out there are more programs biased toward women than men. So is it an institutional bias or a bias in the field of study?

You can also see that the gender disparities in academia mirror the gender disparities in their related industries. e.g. more men get PhDs in tech and work in tech, but more women get PhDs in education and work in education. So is it academia that is the biased institution, or is it the related industry? Or are they creating those conditions by biasing who they teach? You can't really say given the statistics here, and you certainly can't use these statistics to support the claim that academia is biased against men! There's nothing here to draw a conclusion that strong.