The second definition is that being an anarchist affects your perception of gender. It could also mean one's gender is just anarchy, and is intended to be up to the interpretation of whoever uses the label. This could also be considered a xenogender.
Anarchogender was coined by EndermanSaysTransRights on Tumblr on September 11, 2019. The term was coined alongside Defessugender to describe the coiner's gender experience. Anarchogender was given a second definition by Tumblr user IDvault on October 22, 2020.
The original flag and alternate flag were designed by the coiner and have no known meanings. The flag for the second definition was designed by IDvault on Tumblr. There is no known meaning for the flag besides that black and red have seen a widespread use in symbols by anarchists since the late 1800s.