Will taking hormone replacement therapy causes iatrogenic menstruation in menopaused women?

Usually no: During the time a woman is perimenopausal hormonal manipulation can cause some spotting or bleeding depending on how the hormones are dosed. Once a woman is truly menopausal hrt does not usually cause menstruation. Vaginal bleeding in the post-menopausal woman is considered abnormal & worthy of investigation.

Depends: There are several ways to give hrt. Some will result in a "period". Others will not. Your doctor should let you know what to expect.