The Terror of Trigon (1981 – 2011)
It was Trigon who inspired his daughter, Raven, to first re-form the Teen Titans (in 1981's THE NEW TEEN TITANS #1). Knowing her father was aiming to conquer Earth, Raven did everything in her power to rally Earth's Super Heroes against him. But she found all too few of them believed his threat to be serious. Desperate, Raven relied on her powers – passed on to her from her father's demonic blood – to trick the Teen Titans into believing they knew and trusted her.
Trigon, undeterred by his daughter's efforts, tried to press his invasion. But the combined efforts of both the Justice League and the Teen Titans put a temporary end to his threat against Earth (THE NEW TEEN TITANS #5, 1981). Unfortunately, Trigon's defeat eventually left Raven adrift and lost in the realm outside of Azarath, cut off from her friends and pinned beneath her father's endless power.
Years later, Trigon attempted to invade again. He started by launching an assault on Azarath; and the psychic unrest his attack caused was enough to prompt the Teen Titans to search for Raven's lost soul. They set out on a mission to infiltrate Azarath, only to allow, inadvertently, Raven's soul to be completely corrupted by her father's influence.
Trigon was able, at that point, to manifest on Earth, taking over Titans Tower and remaking whole swaths of the planet in his image. But Lilith, the Teen Titan psychic, took control of a mystical artifact known as the Rings of Azar; through which the team dethroned and defeated Trigon completely (THE NEW TEEN TITANS #1-5, 1985).
Though defeated, Trigon was not destroyed. He returned to his own dimension outside of Azarath and began designing a new plan. He fathered several children known as the Sons of Trigon, each of them empowered with an ability reminiscent of the seven deadly sins, and launched a new attack – with Raven in his crosshairs (TITANS #3, 2008). His children’s goal was to use Raven's power to create a portal so their father could return to Earth at last. Though they succeeded in temporarily turning Raven evil, they were ultimately defeated through the use of the Ramat Stone, an artifact Raven had given the Titans to stop her should she ever be swayed to her father’s side.
The New 52 and Rebirth (29011-Present)
In the continuity of DC's New 52, Trigon (in 2013's TEEN TITANS #23.1: TRIGON) began as a demon who was fed to the Heart of Darkness -- the sum of all evil drawn from nearly one hundred galaxies -- by the three beings who created it, the Divine, in an effort to eradicate the very concept of evil. But Trigon proved stronger than the Heart of Darkness, and instead siphoned all of its power and used it to destroy the Divine. Summoning women from across time and space to serve as his "brides," he was reborn on other worlds. Eventually, his followers brought him Arella, an Earth woman with whom he sired the Titan known as Raven.
Though Trigon's followers eventually captured Raven and used her soul-jewel to bring her father to Earth, the Daughter of Darkness successfully imprisoned him in his home dimension with the aid of her mother and Trigon's other children, her long lost sisters, with whom she forever stands guard against him.