The Tr*force is a badge shaped after the Triforce from The Legend of Zelda. As per normal flair standard, male characters wear it on their chest, while females wear it either on their skirt, or (in EBF4 only) on their hair if it is equipped in the third Flair slot.
The Tr*force has a chance (up to 25% at max level, in both games) to give its wearer the Morale status between turns, and also provides Dispel resistance when worn, up to immunity in EBF4.
In EBF5 it has several other effects: slowly charging the user's Limit Break bar for free, providing a light Syphon resistance together with light Dispel resistance, and at max level guaranteedly giving Morale when Defending.
The Tr*force can be obtained in the Zen Garden area of Greenwood Village, in the top-right most panel of the area. The player must acquire the four elemental orbs used in The Rapture and place them on the pedestals in the Zen Garden. Then, a treasure chest will appear in the pond.