Hypothetically, imagine that we contacted an extraterrestrial species, who reproduced in a totally different way from us. We would not speak the same language. If we wanted to respect their rights, then how would we go about knowing what those were?

If they were capable of communicating with us, then they would be capable of making claims, or statements, which may or may not be valid. What if the alien species claimed they had the right to take over the Earth, and all of its resources, and enslave Humanity? Well, that may or may not be a valid claim. We would have to fight them for it. It wouldn't really matter why they claimed that, or what their reasoning process was.

In response to that, we would probably claim that we had the right to our own planet as a species. But that would mean nothing if we couldn't somehow defend it from them successfully. Ultimately, at a cosmic level, that's really the only thing you could ever consider a 'right' to be. Anything other than that is simply a matter of opinion.

So, then, it wouldn't really matter how the alien species reproduced, or how many genders their species had. They would all have the same rights, and so would we, at least at that basic level. You would have to say that they have a right to reproduce, and perpetuate their species, however they go about doing that, because they've managed to succeed at doing so until now. You would have to say that they have the right to communicate. You would also have to say that they have the right to choose not to communicate, or negotiate, with us, whether we liked it, or not, which also means they would have the right to withhold information from us, if they chose to do so. If we tried to claim otherwise, well, then, we would have to fight them to successfully claim that- no matter what rules they've developed, or how they go about contesting such claims within their own society. They still have the right to make them, well, simply because it's possible for them to continue doing so.

If we were to try to invade their home planet, and colonize it, then we would have no choice but to agree that they had the right to try to defend it from us. If we captured one of the alien beings alive, and tried to make it reveal its secrets to us, or tried to take away anything else it had for ourselves, then we would have to say that it had the right to choose to protect whatever those secrets, or things that it had were- or at least try to. And so forth. This line of reasoning applies to literally any intelligent, or thinking being, or entity, or at least one that's intelligent and successful enough at thinking to be able to make some sort of claim, and then have some way of defending it. You could say that's true of any human, or person, and even many different species of terrestrial animals, although not all of them.