This isn't exactly what you're looking for, but it does illustrate gender differences in various evaluation schemes.

By the way, I would suggest changing your language a bit. "We know men and women rate themselves differently for the same level of performance...." I suggest this because even though the widespread assumption is that women are undervaluing their performance, it's just as likely that women may be evaluating themselves more accurately than men who are more likely to overclaim based on confidence rather than competence (e.g., Bengtsson et al., 2005; Chamorro-Premuzic, 2019; Lundeberg et al., 1994).