Dude, Kodi already streams stuff. Why would you want to “record” it. THe proper question to ask (in a Kodi discussion group) is: “How do I save/rip/copy shows from Kodi?” or something along those lines.
Or this: https://en.wikipedia.org/wiki/Kodi_(software)#Live_TV_with_EPG_and_PVR.2FDVR_frontend