From what you described it is not clear to me if the batteries where left connected for an extended period of time after you saw the wires getting red hot.  I would assume the wires got hot immediately - while your RV mechanic was still there tightening the connections.  I would think you or the mechanic would have disconnected the wires in short order after seeing what was happening, and would have diagnosed, and at least attempted to fix the error in connecting the batteries.  Be that as it may be, unless you have checked the batteries directly by touching the posts with a meter, then I would not be so sure the batteries are dead.  In my situation, the coach went dead immediately either when I turned on the master power switches or when I turned the ignition key - no lights, no gauges, no nothing.  At that moment, all those fuses - over a half dozen fuses - were blown because I put the batteries in exactly backwards.
If what your mechanic did was connect one battery backwards, then you may have burned up the batteries by allowing them to "feed" upon themselves like what would happen during a dead short.  In this case, your batteries may have been damaged fatally.  I don't know.  Anyways, in my situation, the batteries were not damaged at all because those several fuses stopped all the power from moving about the coach and engine.  All those fuses saved a lot of equipment - leveling systems, radios, engine brain, transmission brain, generator brain, inverter, etc. -  from reverse polarity and an over-voltage situation.
If you have not checked your batteries directly, then do so.  Once you know they are functioning, then your first priority is to make sure the batteries are connected up properly, then slowly and methodically go about checking the various systems on the coach to determine if they are working properly.  Anything not working - probably not getting power - will likely be due to a blown fuse.  The first fuses to check are those high power blade fuses in the battery bay - in my coach they are behind a small door above the house batteries.