I am not TE/EC/BioLogos leader, but I am a PS leader. I can answer for myself:
Yes, he does govern the outcomes of evolution.
He foreordains all that he purposes to foreordain, and does not tell us exactly what that is in most cases. I’m sure He specifies some things, but I am doubtful he specifies everything in every precise detail, because I’m not sure why he would care about every precise detail.