You're looking at a wrong word. The word man/woman option is „lytis“. Both „gender“ and „sex“ was usually translated as „lytis“. „Translytis“ is just a term made of two words and describing a person who is such. English translation would be literally „transgender“. And it's used for people who, well, transition.

There's an attempt to call „gender“ „socialinė lytis“ (= social sex). But doesn't make it sound like it's anything beyond socially constructed cultural phenomena.

> English translation would be literally „transgender“.

So you...do have a word meaning "transgender?"

Or „transsex“ if there's such English word? Word „translytis“ is used specifically for those who attempted transitioning man<->woman.

"transsex"/"transsexual" are English words, though they're seen as more archaic and non-inclusive.

I think you misunderstood what they were saying. They were trying to say that their language doesn't have two separate words to describe gender/sex, it is just one word, as they don't separate those terms.

That has nothing to do with the word "transgender" existing in their language (which I would bet exists in pretty much any widely-used language these days, most of the time as a borrowed word).

Not sure of their language, but it is the same in russian, with the single word "пол" (pronounced as "pohl") used to refer to sex/gender.