Here are some of my thoughts on how one can be a better man.
To be a better man you must be true to your word. If you make a promise, keep it. But this also means that your word is very valuable. Do you go tossing bars of gold in the street when you walk/drive? You can't give your word freely like liars do. Be careful who you make a promise to and why.
As a better man you realize the enormous power to do violence that you have as the planet's top predator. That power has to be kept in check except when really needed. You won't let emotion drive you to use that power. You don't have the luxury to ride your emotions and just do whatever feels good. You will think logically. If you use violence it's for a constructive reason like self-defense. Not to be dramatic or to express emotion. Being masculine in a good way is not about how you look (macho) or being violent. It's about being in control of yourself.
Your life doesn't revolve around women. Your ancestors didn't build civilizations by putting all of their time/energy into women. Look at any great man and you'll find a guy who put a lot more energy into his life's purpose/goals that had nothing to do with a woman. it also follows that women's feelings don't lead, direct or control your actions.
Ideally you're in control of your world because a better man is a leader and you can't be a leader until you know who you are, where you're going and why you're going there.
You know that society will also hold you responsible for the actions of your partner so you must be smart enough not to get into relationships with women who lack self-control or who aren't willing to respect the importance of not doing things that will harm you. Look in the media and you will find many cases where a woman started a fight or made a scene and her man was drawn into it. Don't be that guy.
You understand that you're responsible for your actions. Don't do something if the long term effect is bad. Always think of how what you do will impact your future. Also don't support or promote others doing things that are bad for the future. In a relationship you don't simply think about how your actions affect you but also how they will affect your partner.
Long term also applies to your body. There's no question in your mind that staying in shape is important.
You will believe it's fair to hold others accountable for their actions and words regardless of how this makes them feel.
As a better man you recognize your duty to uphold the legacy our ancestors gave us. They built civilizations from nothing and created societies to last for ages. You won't rush to embrace changing the core parts of how society functions just because it might make someone feel good. You'll always think of the long term consequences. You'll favor caution and maintaining long lasting things over social experiments.