Were there any songs or specific phrases Baba used in relation to Udi?

Yes, Sai Baba was known to sing about Udi when he was in a joyful and playful state. Chapter 33 records a specific instance of this, noting that when Baba became absorbed in love, he was heard singing. A particular refrain he would sing very sweetly, again and again, was "Ramate Rama Ayoji Ayoji, Udiyan ki Goniyan Layoji." This phrase translates to "Rama rejoices, O mother, bringing bags of Udi." The text highlights that Baba's Dhuni produced countless bags of this supremely auspicious Udi.