I would argue that, to stay true to its goals of gender equality, feminism must actively challenge the ways in which our culture elevates masculinity over femininity, treating femininity as inferior.
Ironically, and very unfortunately, it is common for feminists and feminist rhetoric, to play right into the culture of placing masculinity over femininity, reinforcing it rather than breaking it down.
Chelsea Forbes-Terry writes about this in her piece The Shame of Being a Feminine Feminist, and Anne Theriault writes a more actionable piece We Need To Stop Devaluing Femininity.
I would go even farther than these authors, also examining the ways in which feminism and feminists approach the topic of communication patterns and styles. Feminism rightly recognizes a greater tendency in our society for men to use aggressive, domineering communication styles, often talking over women and sometimes taking credit for ideas that women came up with. But unfortunately, feminism sometimes falls into the trap of advocating for women to adopt this very same pattern itself.
The mainstream impression of feminist dialogue is one characterized by a communication style that is angry, aggressive, and often cold, almost a caricature of the "toxic masculine" patterns of femininity. I would argue that feminism won't truly achieve gender equality until it starts emphasizing the importance of interpersonal warmth, empathy, listening, and the showing of respect in communication, all characteristics of stereotypically "feminine" speech.
Summed up in a little tagline, I think we've passed the point of needing to teach women to become more like men, I think we now need to teach men to become more like women too.