The Gers suffered a stunning collapse in the final 20 minutes of the Scottish Championship game at the Falkirk Stadium.
The visitors took the lead as early as the seventh minute when Kenny Miller found the target.
Rangers went 2-0 up just two minutes later through Barrie McKay, and it appeared as though the Gers were going to win by a very big margin.
However, the Glasgow giants collapsed in the final 20 minutes of the game to lose 3-2, as Blair Alston, Myles Hippolyte and Bob McHugh found the target for the home team.
Warburton has revealed that he spoke to the players in a heated dressing room after the late collapse.
"We had a few heated words, hence why I was late in here, but that is good,” Warburton told The Glasgow Evening Times. “As a group we go to the next level when we communicate. It’s about being honest.”
"What we did well, we stopped doing,” added the Englishman. “We started off brightly and moved the ball quickly and were two up and it could have been more.
"Then we got some warning signs, some loose passes and we spoke at half-time of taking care of the football. Inexplicably, we didn’t do that.”
Rangers’ defending in the final 20 minutes of the match was poor, but the Gers will bounce back from the defeat.
The Glasgow giants, who have the best squad in the Scottish Championship, have reacted positively to defeats before, and fans should stay positive.