There are two genders. There are some people who biologically don't really fit into either.
"androgynous", "bigender" and "gender non confirming" are not genders and no one should be referred to be ze/zir/zirself pronouns.
I get how the made-up pronouns are silly (although to be honest I've never heard an argument in favor of them) but I don't see what's wrong with calling yourself bigender or whatever.
TBH the term "bigender" sounds weird and completely nonsensical to me. Not that it matters, of course, since whatever labels people choose to identify themselves with makes absolutely no difference to my life.
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