This group exists primarily within the Sonic Boom continuity.
Information in this article may not be canonical to the storyline of the games or any other Sonic continuity.
Eggman Missile Industries is an organization mentioned in the Sonic Boom television series. It is a company owned by Dr. Eggman that produces missiles, and is a subsidiary of Eggman Fun Toys.
Missiles from Eggman Missile Industries would be stored in Eggman's Lair for future attacks. Another of the company's missile was left in Eggman's abandoned missile silo on Seaside Island.
While on several misadventures, Team Sonic came across several Eggman Industries missile silos and accidentally launched the missiles within, leaving them with the painstaking task of stopping them.