What was Jesus' second purpose in coming?
Jesus' second purpose in coming was to prove that Israel needs Him. The context states that first and foremost He came to prove who He was; secondly He came to prove that Israel needs Him. So the second purpose directly concerns Israel's recognition of their need for Him.
Les teaches that this backs up what he has said all the way through the Gospel study: first and foremost Jesus came to prove who He was, and secondly He came to prove that Israel needs Him. The transcript presents these as the two purposes, with the second specifically directed at Israel's need for Him. No further elaboration is given in this unit beyond that contrast.