Yes, there is a reverent procedure typically followed:
Sankalpa: The Karta (usually the son or close relative performing the ritual) takes a vow (Sankalpa) guided by the Pandit, stating the name of the deceased, their Gotra, and the purpose of the ritual.
Purification: The ashes (asthi), usually kept in a holy cloth within an urn (Kalash), are purified with Ganga Jal (water from the Ganga), milk, and sometimes other sacred items like honey or ghee.
Puja: A brief Puja is performed, often involving prayers to Lord Vishnu, Lord Yama (God of Death), and the Pitrus (ancestors). Offerings like flowers, Tulsi leaves, and black sesame seeds might be made.
Immersion: Guided by the Pandit’s mantras, the Karta reverently immerses the ashes into the waters of the Triveni Sangam.
Tarpan: Often, Tarpan (offering water with sesame seeds) is performed immediately after for the peace of the departed soul and other ancestors.
Daan: Giving Dakshina to the Pandit and Daan (charity) to the needy or boatmen is customary.