According to Austrian media, Baumgartner had been told by Red Bull boss Dietrich Mateschitz, worth an estimated $13.5 billion, to mention the drink when the eyes of the world were watching.
He was supposed to say: "This is the world of Red Bull". But instead, he apparently said: "I am going home now."
Baumgartner became a household name around the world thanks to the project in which he jumped to Earth from a helium balloon in the stratosphere on 14th October 2012.
He set world records for skydiving an estimated 24 miles and reaching an estimated top speed of Mach 1.25 (843.6 mph), becoming the first person ever to break the sound barrier without vehicular power.
But the loss of the opportunity to have the energy drink's name mentioned at the key moment in one of the most successful PR stunts of all time apparently left the Red Bull boss furious, and it is understood he has not said a word to his most famous stuntman ever since.
Mateschitz was a former toothpaste salesman who realised that the energy drink that would become Red Bull was widely popular in Asia, but virtually unknown in the West.
He then gave up his job and spent a year preparing a marketing strategy that involved using events to promote the drink, making it a worldwide bestseller in the process.
Since then the company has expanded its portfolio and not only sponsors all kinds of extreme sports, but also owns different football clubs in Salzburg, Leipzig and New York.
Currently, Red Bull is perhaps best known for its Formula One racing team, which won the 2010 Formula One World Constructors' Championship and Drivers' Championship with Sebastian Vettel. They then went on to win both titles for the next three years running in 2011, 2012 and 2013, making Vettel and Red Bull Racing four-time world champions.
Baumgartner may also not be so pleased with Red Bull, it seems, as he was photographed posing with Mercedes driver Nico Rosberg for a picture.
In a post on social media, he wished Rosberg a happy birthday and wrote that he hopes the German will clinch the world title this year - instead of one of the Red Bull drivers.
Story courtesy of Central European News.