I believe that evolution and God are diametrically opposed. They do not coexist. God has declared by His Word how He created the Heavens (i.e. outer space, atmosphere around earth,) and the earth: by His words.
As far as mechanics here is how God did it:
Hebrews 11:3
By faith we understand that the worlds were framed by the word of God, so that the things which are seen were not made of things which are visible.
Psalm 33:6
By the word of the LORD the heavens were made, And all the host of them by the breath of His mouth.
That is pretty plain.
So God speaks and things "be," "exist," or "come into being." That explains why there are no transitional fossil forms. All life came into being suddenly or instantaneously.
More examples of God speaking things into existence:
Genesis 1:3
Then God said,“Let there be light”; and there was light.
Genesis 1:6
Then God said, “Let there be a firmament in the midst of the waters, and let it divide the waters from the waters.”
Genesis 1:9
Then God said , “ Let the waters under the heavens be gathered together into one place, and let the dry land appear”; and it was so.
Genesis 1:11
Then God said, “Let the earth bring forth grass, the herb that yields seed, and the fruit tree that yields fruit according to its kind, whose seed is in itself, on the earth”; and it was so.
Genesis 1:14
Then God said, “Let there be lights in the firmament of the heavens to divide the day from the night; and let them be for signs and seasons, and for days and years;
Genesis 1:20
Then God said, “Let the waters abound with an abundance of living creatures, and let birds fly above the earth across the face of the firmament of the heavens.”
Genesis 1:24
Then God said, “Let the earth bring forth the living creature according to its kind: cattle and creeping thing and beast of the earth, each according to its kind”; and it was so.
So based on the Bible God creates certain things (if not all things) by speaking. It is clear that God did not want to use an inferior method like evolution. Evolution is a protracted process that supposedly occurs over eons of years. But everything that God does has a spiritual import and significance. For example, human beings are the only creatures that are made in God's image. No other creature has this claim to fame. Evolution presupposes that all organisms evolved from lower life forms into higher life forms. This process runs counter to God's process of creating creatures that are in His image. God's image is not that of a lower life form that evolved into a higher life form. So right off of the bat this methodology will not work. God wanted creatures that were made in His image and that were made fully mature and ready to reproduce from inception.