>>376857distro is short for distribution, which are the different GNU/Linux distros you see, i.e Ubuntu, Debian, Arch, Kali, Gentoo, Solus
repos are repositories, the source from which your package manager pulls its files from. Most distributions will use their own repository, or in some cases the repo of its grandfather. There's also the AUR but we don't talk about it.
>And also is this the same Reaver I have integrated in Kali Linux?yes