I understand direction to mean pattern and pattern to mean a sequence of changes that repeat.
Change being a difference between two successive states, it becomes clear that direction is a property of state.
So for universe to have a direction, it must be a state.
But is it?
Is universe a state?
Or is it totality of everything, sum of all states?
And if we decide to define universe, not as everything, but only as a moment in time, one has to ask, what does this moment include?