If you consistently start to bleed 7 days after you start the progesterone then you could try to tweak your cycle by counting the first day of the bleed as Day 1, finish the course of progesterone but start to take it again on Day 15. See if that settles after a few months? Also if you are taking it orally you could try taking it vaginally so that more gets to the uterus where it is needed? As always if anything about the bleeding concerns you then do speak to your doc but ideally find one in the practice that is a bit more knowledgeable about HRT and menopause!
Hurdity x