It's different for each society and culture, so it's a very difficult question to answer.
In the past men wore high heels, wore wigs, makeup, etc. because it was just the fashion and culture at the time (france, egypt, etc.) and it was considered manly. Today, it's considered feminine to do so.
Today there is still an expectation not to express emotion and are expected to be the sole breadwinner etc. because these are masculine things to do. They shoulder a lot, and end up with higher suicide rates.
It's different for women too. In the past they were expected to have children, and were highly discouraged from having jobs. Could not own land (except in some societies). Could not vote or go to school. education for women was considered taboo. Because they were considered manly activities. a woman's life was about domesticity and providing children.
The generation before us grew up in the 1950s, so you bet they have some cultural expectations of what to do/what not to do. So do the people who grew up in the 60s, 70s, 80s, 90s, and up until now.
These societal roles are ever changing. People's opinions on what men and women should/shouldn't do will always depend on the person answering.
I hope you have someone provide a nuanced answer.