Babydaddytat is the visible scratch marks across a black male's face, usu. the cheek. It is typically caused by a fight with the mother of this person's child. More specifically, it is a tattoo that appears on the baby daddy after fighting with the baby mama and is used to show ownership of the male. Can also be caused during rough sex.
Bitch, you splashed some MD2020 in my babydaddytat!