Bigender
Having two genders, either at once or in alternation.
A bigender person has two genders. For some both are present continuously; for others they alternate, which can look like genderfluidity but differs in that the set is fixed at two.
The two aren't always man and woman. Plenty of bigender people hold one binary gender and one that isn't, or two non-binary genders.
Practically, this often means two modes of presentation and sometimes two sets of pronouns. Many bigender people will tell you which is active if you ask, and appreciate being asked.