Greetings @Noza
There is, it seems, a number of different interpretations of Theistic Evolution. As for myself, I argue that, while the biblical text is pretty clear that God is continuously involved in His ongoing creation, what to call it is not (to me at least). Here, for example, are three claims the [inspired] author asserts in the text that are germain to your question.
First, the author uses the Hebrew word normally translated as ‘day’ in a spatial sense, namely as a lighted region of space, not the passage of time (“and God called out to the light, ‘Day’ and to the dark He called out ‘Night’” - Genesis 1:5). This is how the author sought to represent God as outside of time and over space. This makes sense textually AND historically for those who believe (as I do) that Genesis 1 is a radical polemic against the existing pagan creation narratives (the surrounding pagan theologies described their gods as in and of the world – subject to the time and fate).
Second, He judges the outcomes of His creative work for 6 of the 7 days of creation. The author here claims that the light created by God (Genesis 1:3) was not certain to meet God’s requirements. It did and He moved onto the second day. This uncertainty is manifest in verses 1:11-12 in which what God wanted (trees of fruit making fruit) and what was produced (trees making fruit) didn’t match. Notwithstanding the failure, God accepted the outcome as ‘good’. The main point here is that this lines up perfectly well with the idea that God created an indeterminate universe - a basic prerequisite for evolution (and other scientific phenomena). Thus, its very indeterminacy must have been pleasing to God. By the way, this also argues against the Deists who posit a watchmaker God. An indeterminate universe cannot be left alone.
Third, the seventh day has not yet ended and God has not yet pronounced His judgment. Ergo, God is not through with us yet.
Finally, whether the first creation story is a poem is often used to argue that the Genesis story is not to be taken as a description of material creation. In my own view, Genesis 1 surely contains poetic elements (along with its high prose and majestic cadence), but it also contains a literary device very common in ANE metaphorical literature – a numerology of 7 (see Numerology and The Number 7). ANE authors (of which our inspired author was one) when writing metaphorical narratives, took great pains to choose words for the numeric symbolism over and above their literal meaning. Thus, by its high prose, its majestic cadence, its poetic elements, and the deep symbolism of God’s perfective actions (the number 7), I argue that the story is not to be taken as a natural history, but as a beautiful statement about God’s purpose in making mankind and HIs continued concern (worry?) about our conduct.
Blessings,
Michael