These two make-up exams are also different.
1, that is, they are different in time. Make-up exam is to take the exam after the holiday, and the retake exam is to take the exam at this time next year. You have to follow the course for another semester.
They are different in nature. If you pass the make-up exam, you will indicate "make-up exam" on your graduation report card, and the second-round exam is equivalent to the normal exam.