What do you call a man that is attracted to women and feminine transgenders?

Sexual orientation is determined by the gender of the people one is attracted to, not the biological sex they were born with. If with feminine transgenders you mean trans people that identify as female, then a men who is attracted by both transgender women and cisgender women is heterosexual. That's because all the people he's attracted to belong to the feminine gender, independently of what sex they were born with.

If by "feminine transgenders" you mean transgender women, then that man is heteroromantic if he is only romantically attracted to these women, and heterosexual if he is also sexually attracted to these women. Just because a woman happens to have XY chromosomes, it does not mean that the man who is attracted to her is somehow homosexual. He is not attracted to her chromosomes, but the woman that she is outwardly presenting to him and to society, because she psychologically identifies as a woman. We associate certain physiological elements, such as chromosomes and genitalia, as gender signifiers, but these are not the sole basis for our attraction to other people.