As murphydurf says both low oestrogen can cause a variety of symptoms in addition to flushes and sweats - eg joint pain and low mood. As I mentioned also - continuous progestogens can also lead to continuous progestogenic sdie effects - pms, headaches, bloating, fatigue, depressive feelings. The first thing I would do is to make sure you do not take progestogens every day - but unless you have a Mirena then you have to have a bleed - which many of us put up with for this reason.
I have read that some women seem to find flushes etc increase when they have a Mirena. It is well known that progestogens interfere with some aspects of oestrogen ( notably of course in the uterus where it prevents thickening of the lining), but I can't find information on vasomotor symptoms specifically - however if women find it does this then the answer is to increase the oestrogen - I presume this will flood the oestrogen receptors hopefully?
Hurdity x