The pituitary hormone that promotes ovarian secretion of progesterone and testicular secretion of testosterone is

Luteinizing hormone (LH)

Explanation:

Luteinizing hormone (LH), also known as lutropin, is produced by the pituitary gland and together with follicle stimulating hormone (FSH) it is part of a group of hormones known as gonadotropins and that play a determining role in female reproductive function, but also in the male, since it participates in the process of regulating the production of testosterone.

In women, luteinizing hormone has an essential role in the regulation of the menstrual cycle, although it also participates in the production of androgens and the generation of estradiol in the ovary through the activity of so-called thecal cells.

However, towards the end of the follicular phase, after the maturation of the ovule driven by the follicle stimulating hormone, there is an increase in its secretion that lasts between 24 and 48 hours that causes the oocyte to be expelled from the ovary, that is, ovulation. In addition, this increase in LH also induces a secretion of follicular steroid hormones, among which progesterone is found, in order to prepare the endometrium for the eventual implantation of the embryo in case the egg is fertilized