Well I know how the specifics of the jutsu works, but it is hard to put it into an actual way for Naruto to do it. The rites are like receptors that signals Minato's chakra. Once the rites move (as they are attatched to Kunai), Minato is alerted and he is summoned to the location. So, it involves some kind of reverse summoning method.
I wouldn't be surprised if Madara uses them too or the cannibal Zetsu.
For what purposes? Kakashi said that Madara's space-time transfer surpassed Minato's as he is able to move through solid walls without markings or tatoos (which could qualify as rites). Zetsu seems to just use the environment some how. I kind of doubt rites are used in his case. Though I could be misunderstanding what you mean in regards to them using rites, but at least during the space-time transfer, Madara uses none.