It seems you are asserting that God, using his intelligence, intervenes in the evolutionary process by providentially providing new information. That is certainly contrary to what most evolutionists believe–that it is only a natural process, and that no intelligence is involved. It seems you are in a small minority position among evolutionists, and hold a position that most would find completely contrary to evolutionary theory.
I accept that evolutionary belief is not monolithic. It is fine with me (although my permission is immaterial) that you hold that contrary position. But it does complicate the discussion when there are widely disparate views in play.
I find your argument flawed. There is no necessary or logical connection between denying evolution and denying God’s sovereignty. I deny evolution because I don’t think that neo-Darwinian evolution is true. I both deny evolution and firmly believe in God’s sovereignty and his ability to providentially intervene. God can do whatever he wishes.