Dr. James White, The Forgotten Trinity:

The words of Jesus at Matthew 27:46 have come in for many kinds of interpretation. Unfortunately, many of the theories have compromised the Bible’s teachings on the nature of the relationship between the Father and the Son. The Father was never separated from or abandoned the Son. This truth is clear from many sources. Jesus uses the second person when speaking to the Father—“why have You forsaken Me?” rather than “why did He forsake Me?” as if the Father is no longer present. Immediately on the heels of this statement Jesus speaks to the Father (“Father, into your hands . . .”), showing no sense of separation. Whatever else Jesus was saying, He was not saying that, at the very time of His ultimate obedience to the Father, the Father abandoned Him. Rather, it seems much more logical to see this as a quotation of Psalm 22 that is meant to call to mind all of that Psalm, which would include the victory of v. 19ff, as well as verse 24, which states, “For He has not despised nor abhorred the affliction of the afflicted; neither has He hidden His face from him; but when he cried to Him for help, He heard.”