The correct spelling for the phrase "man on make" is "man on a mission." In IPA phonetic transcription, this would be transcribed as /mæn ɑn ə ˈmɪʃ ən/. The confusion in spelling likely arises from the fact that "make" and "mission" share some of the same sounds. However, "man on a mission" is the correct phrase to use when describing someone who is determined and focused on achieving a specific goal.