The only reason we think of causality as moving forward in time is that we subjectively experience time as flowing in that particular direction.
There's no a prori reason to say that event A causes later event B. It's equally logically possible that B is causing A.
Really though I find it more meaningful to say that directional causality is a hoax and time is a static series of connected relationships.
Related: my subjectivity has free will.
The states of The Universe in its totality does not.
There's no contradiction there.