If they are getting that hot, you certainly have a problem. Who installed them for you? Was there any problem with them prior to the work other than simply being worn out?
When they hang up like that, usually you have either a stuck caliper piston or a stuck caliper slide. What I suggest is to contact the repair shop and tell them that one of the brakes they installed is hanging up and causing it to overheat. They need to be responsible for the repair.
I attached two pics below to show the components I am referring to. Pic 1 shows the caliper piston and pic 2 shows the caliper slide bolts.
Keep in mind, those two things can be fine and something was simply not seated properly or not installed correctly.
Let me know which brake is smoking. If you are comfortable with doing the checks yourself, I would be happy to walk you through the procedure.
By the way, if they are getting hot enough to smoke, I wouldn't recommend driving it until it's repaired. Also, if the shop fixes it for you, tell them you want the rotors replaced again because the excessive heat has likely caused the new one to warp.
Let me know.
Images (Click to enlarge)
Monday, March 15th, 2021 AT 12:51 PM