Like most induction methods (not counting westernised ones! lol) - it will only work if your baby is ready to be born.
I have had acupuncture throughout this while pregnancy. We used it whilst TTC after more than a year of no success and it worked my first cycle. It also has helped heaps with morning sickness, my moods, water retention, etc!
BUT - As I have had a c-section previously, my acupuncturist actually told me she would
not use any of her techniques for 'induction' if I were to go 'overdue'. Like most induction methods, they are not recommended if you have had a section as they raise the risk of uterine rupture. Now, I figured this was just for the horrible induction methods with artificual hormones they would use in a hospital - but my acupuncturist is not comfortable using her methods either on me.
For me, personally, I have just looked into what actually would happen if I went 'overdue' and what else I could 'do' about it. Such as nothing actually. Babies come when they are ready and 44 weeks of gestation is pretty darn normal and nothing to be concerned about. But this can be a touchy subject and we can all do our own research if we want

lol