It is objected that "In the first creation man is made in the image of God; while in the second that likeness is acquired by learning of good and evil."

The second part does not say that this is how the "likeness" is acquired. Genesis 3:5 and 3:22 refer to knowing good and evil, not to the initial creation in God's image.

Problem: Genesis 1:27 says “God created man in His own image.” But in Genesis 3:22 God said, “the man has become like one of Us, to know good and evil.” The former seems to affirm that humans are made like God, and the latter appears to assert that he becomes like God.

Solution: The two passages are speaking of two different things. Genesis 1 is speaking about a human virtue by creation, while Genesis 3 is referring to what he had by acquisition. The first passage refers to Adam and Eve before the Fall, and the last is referring to them after the Fall. The former refers to their nature and the latter to their state. By creation Adam did not know good and evil. Once he sinned, he knew good and evil. Once these differences are understood, there is no conflict.