How did Jimmy disrespect Jerry?
Answer: by Jimmy Johnson not conforming with Jerry Jones' need for public accreditation of him re-making Dallas into Super Bowl champions. It was not a one-time occurrence but the reported last time happened nearly a week before their infamous parting on March 28, 1994.
Los Angeles Times' Bill Plaschke wrote an abbreviated account of the incident (
link).
Jones' narcissism is classic Little Man Syndrome. Johnson toyed with Jones as easily as he masterfully brought out the best in players (dude's college major was psychology). In the end, Jones was so flustered, in not getting the broadcast praise he coveted, that he literally got mad and couldn't take it anymore.