Is my Wudu still valid if I perform mandatory Ghusul but touch my private parts to ensure they are cleansed or touch them with a towel when I am drying after the shower? What about if I make Wudu first and then shower and touch my private parts?
Bismillah,
Asalamu Alaykom,
Merely touching one's private parts doesn't break Wudu for Shia Muslims; it would however break one's wudu for those who refer to themselves as Ahlus Sunnah. Yes, if one masturbated causing ejaculation this would break the wudu and one would require ghusl al janabah.
May Allah grant you success