PSG secured a 3-0 victory at the Stade Matmut-Atlantique but it was not short of controversy as Kylian Mbappe was fouled in the area by Kamil Glik in the eighth minute and the Ligue 1 leaders benefited from a lengthy VAR process.
Edinson Cavani netted the subsequent spot-kick and just before the break, VAR ruled out a potential Falcao goal due to an offside call from the system.
After the game, Falcao branded the decisions as a 'disgrace', with Angel Di Maria and Cavani's brace securing Les Parisiens' record eighth French League Cup title.
"It's frustrating when in two cases where there has been VAR, it has served to help PSG," Falcao told Canal after the game. "Sometimes, after looking at the images, nothing is clear and this kind of thing can kill football.
"Reviewing the penalty, they have lost four minutes, and with my goal, another four, but they only added two [at the end of the half]."
"It's amazing and frustrating but we're leaving with our heads up because we have given everything even though we did not win the title," Falcao added.
"PSG are very good but they needed the video referee to help them to beat us."