Breath of the Wild
As part of his inferiority complex toward his master, he asks Link to defeat the Igneo Talus at Darunia Lake in the side quest "The Road to Respect" so that he can claim to Rohan that he defeated the Talus. While he will pay Link a Silver Rupee if he does so, he is too nervous to follow through and tell Rohan the lie.
Tears of the Kingdom
Fugo is still an apprentice to Rohan, although Fugo's only interest initially is eating Marbled Rock Roast. He believes that since Rohan can't eat the roast, Rohan is taking out his aggression on Fugo.
After the Goron Regional Phenomena, Fugo can be found with Rohan, pleading to his mentor so he can make a Boulder Breaker. Rohan has no interest in him anymore, but gives Fugo a list of items need to make the weapon. This conversation begins the Soul of the Gorons Side Quest.