I read that Sai Baba himself officiated the Shraddha ceremony for his devotee Balaji Patil. Can you provide the details of this event?

This appears to be a misunderstanding of the account in Chapter 35 of the Shri Sai Satcharita. The text does not state that Baba officiated the Shraddha ceremony. The ceremony was being conducted by Balaji Patil's family after his passing. Baba's involvement was miraculous, not ceremonial. When the family faced a shortage of food, it was Balaji's mother-in-law who, filled with faith, used Baba's Udi to solve the problem. Baba's grace intervened to protect his devotee's honor by multiplying the food. Therefore, while Baba was the cause of the miracle, the ceremony itself was a family affair, and the story serves to illustrate the power of having unwavering faith in him.