The Trans Corporation appears to be a subsidiary corporation under the umbrella of the larger Sombra Corporation, a corporation serving the Crimson King.
Many of the doings of the Trans Corporation are largely unknown. To the public, their activities appear to be less sinister than other organizations run by the Red King like Sombra. They seek out and contact people with psychic potential in our world under the guise of recruiting them for high-paying jobs, before eventually turning them over to become Breakers at Algul Siento.
Mr. Sharpton and the Trans Corporation were responsible for Dinky Earnshaw's recruitment to become a Breaker.