i should think the name provides the answer to such a question...Theistic Evolution, Biologos...Im not a TEist so its not up to me to defend or describe "whats its supposed to be". I can tell you what it does not do...and that is as i stated before, it is not consistent with biblical themes or theology (again, despite what the Pope may claim)
I would challenge the view that TEism can even claim to be Christian because if they truly break down their blending of evolution and creation, they cannot reconcile the idea that death and suffering came into this world at the time of the fall of Adam and Eve.
Prior to this the bible is very specific in that the entire plan of Salvation, and therefore the physical death of Christ on the cross, was specifically to make atonement for Romans 6:23 (for the wages of sin is death).
In doing that, Christ provides the only pathway of restoration back to God and the former "very good" state of this world after creation (which I believe according to the original language means it was a perfect creation). This is evidenced by Revelation 21
1Then I saw a new heaven and a new earth,a for the first heaven and earth had passed away, and the sea was no more.
4‘He will wipe away every tear from their eyes,’c and there will be no more death or mourning or crying or pain, for the former things have passed away.”
We know that its plainly inconsistent with the Bible to make the claim that death and suffering were in this world before Adam and Eve.
They could not possibly have evolved if one is to follow Bible themes and theology across its pages.
There are far too many passages of scripture that paint an in depth picture of exactly when, how, and why sin corrupted this world and none of this was before Adam and Eve sinned. We also have extensive biblical references that show how the corruption of sin is unnatural according to Gods laws, and how it was/is to be fixed according to the Christian model (if you like), and what the final outcome will be.
I believe that one of the most significant discreditors of TEism is the PHYSICAL death of Christ on the cross.
If Genesis 1-11 are allegory, then there is absolutely zero support for the Physical death of Christ on the cross. As a Creator who did all of this via evolution from afar, physical death as atonement is untenable!
It gets worse...because of the above issue, there are at least some TEists that i know (from Biologos community), who it seems do not believe in salvation! That is just plain heresy...those individuals are technically not Christian...so they are kidding themselves. They have become so blind to the infallibility of their science, they are willing to completely throw out the entire reason for Christ dying on the Cross ("to save His people from their sins").
The point is, TEism in its current form is not aligned with biblical themes or theology...particularly when it comes to the Atoning Physical death of Christ on the cross in order to provide a pathway to Salvation and Restoration.