The moment Kakashi stopped being Hokage, I'm pretty sure Sasuke stopped taking any orders from him.Sasuke and Naruto are both gennin. It would be pointless for Naruto to retake the exams and I'd feel bad for the poor soul that'll have to go against a ninja god. Even in base mode he's more powerful than Kakashi. I don't think it really mattered much. Even before the war Naruto was going on A and S class missions.
Sasuke wasn't really in the village much after the war, excpet to leave his seed in Sakura and leaving. Even still Naruto admits that Sasuke does special type missions. He probably finds treats and exterminats them before they get out of hand. His the shadow kage of the village. He only probably answers to Naruto only. Maybe Kakashi.
I highly doubt that since the Last Movie takes place two years after the war and shows that Naruto is still a Genin. If he wanted to be promoted, he would have done so in that time. It just shows that Naruto simply doesn't care anymore because the Ranking system is worthless to him and Sasuke who transcend even the Kages.Considering they both had several years before Kakashi retired after becoming Hokage, it is very likely they progressed normally through the ranks... I just wish I could've seen the other genin's reactions when they get within a mile of the the war hero and s-rank criminal who fought with the gokage... instant surrender in the tournament? or just beg them to take their scrolls in the second exam?