The Franchise is a satirical comedy television series created by Jon Brown, and executive produced by Brown, Armando Iannucci and Sam Mendes. It depicts a "behind the scenes" look at a film that’s part of a larger superhero film franchise. And I definitely I lifted that description from Wikipedia.
Jeff Cardoni is apparently handling scoring duty for the rest of the series; Trent and Atticus are responsible for the theme song, which is used mostly at the beginning and the end of that first episode.