Being mindful of one's position and/or privilege. Understanding that always asking for consent and giving space is critical to those that may be smaller and weaker (or at least perceived to be). The example I will give is a 6' guy with a 5'4" woman. Make sure there is ample space and protection for her.
Vulnerability is an important thing, but it isn't the cure all. It is about in a place where two people can in private talk and share and let the other person see "you". Fears and worries and concerns to the point where they can be used against you, but you on the counter trust the person not too.
Taking the time to engage in boundaries and ejecting toxic and small-minded people out of our circle. So if a woman is a toxic person, say so and back the hell away and tell her no. Also, make sure that the thirst from down below doesn't cloud one's judgement on taking a pretty narcissist to bed and letting her make home.
I do believe that if men did the work and hit it home given how truly nasty life is to all of us, that quite a few women would not (in the short term) be able to handle it. Since most of society simplifies and makes all men look and appear shallow.
Then the next phase for authenticity is making sure that when you find a mate worthy of you, making sure that her fears that some other woman or person would come by and steal you away won't happen.
On the flip side once authentic masculinity comes home, then it empowers the thing we love about women to empower their own femininity even more and then the threaded dance happens.
How will we know it is successful? Sales of romance novels would decline ...