After two defeats, Bordeaux bounced back thanks to two goals from forward Francois Kamano, who grabbed an injury-time winner after teammate Samuel Kalu missed a penalty minutes earlier.
Falcao, who had come off the bench, took a touch just inside the Caen half on the edge of the centre circle to find the middle of the net.
Monaco's 'Ultras' had lambasted Mbappe for his behaviour and his wage demands that were leaked to the French press.
Jovetic, who has signed a four-year deal with Monaco, started out with Partizan Belgrade before joining side Fiorentina.
Monaco's unsettled striker Kylian Mbappe came under fire on Tuesday from hardcore supporters of the French champions.
Kylian Mbappe started Monaco's first two matches of the season but sat on the bench for the match against Dijon.
Monaco want European rivals sanctioned if they don't stop making illegal approaches to their teenage striker Mbappe.