Keep screed below threshold otherwise door may foul on final covering. What are you covering the screed with?
If your screed was level with the threshold then your door wouldn't be able to clear the finish engineered floor, keep it lower for this purpose.
Back door? I'd still keep it down beneath, difficult to finish edge of engineered floor neatly, no reason to bring it up flush unless thinking of wheelchair access, and a tiny lip isn't going to matter with that.