The first scripture the OP presented is in regard to Luke 33:46
Father, into Your hands I commit My spirit.
Jesus had been living under the law as man. He never knew sin and therefore never knew death. Knowing he was going to become a sin offering, and therefore death would ensue, he commits his spirit to the Father who will keep it safe, while he is dead for three days.
One hast to remember he has to go through the full process of living as a man under the law, fulfilling it and then actually die as a man.
This particular scripture does not show that God is his source of life, But only the Father would keep his spirit for safekeeping.
The second scripture the OP asked is; John 6:57
As the living Father sent Me and I live because of the Father, so also the one feeding on Me, he also will live because of Me.
( The one eating this bread will live to the age.”)
Jesus was living on total dependence on the life of the Father's Spirit while here on earth. The Father was his source of life and those who feed on Jesus, (believe in him) have that same life in them. They have the life from Father through Jesus who was given for life.
This verse does show that God is the source of life in Jesus here. He lived because of the Father.