An Aura that becomes a creature is no longer put into its owner’s graveyard as a state-based action. Rather, it becomes unattached and remains on the battlefield as long as it’s a creature. While it’s a creature, it can’t be attached to another permanent or player. An Aura that’s not attached to a legal permanent or player as defined by its enchant ability and also isn’t a creature will be put into its owner’s graveyard as a state-based action.