Kenneth Truscott (Jon Cryer) is an accountant and father to Lilly. He is an unseen character until season 3 but is mentioned by Lilly earlier than that. In It's a Mannequin's World, Lilly complains that he got her a savings bond for her birthday, seen by Lilly as worthless because she can't spend it. Although he is separated from Lilly's mother, he is known to spend time with Lilly and keep her accountable for her school work. Lilly says that he likes bran muffins and is susceptible to back injuries.
He first appears in season 3 in the episode The Wheel Near My Bed (Keeps on Turnin'). He lives an hour away from Lilly. He has his own business but he fakes that he's successful and has an assistant called Margaret. He is lactose intolerant, but still eats ice cream, revealed in It's the End of the Jake As We Know it.
In The Wheel Near My Bed (Keeps on Turnin'), he received a phone call from someone named "Charlie," which is possibly a reference to the actor's successful sitcom, Two and a Half Men, in which he has a brother named Charlie, portrayed by Charlie Sheen.
He also appeared in I Am Mamaw, Hear Me Roar! at Miley and Lilly's high school graduation.
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He’s lactose intolerant as mentioned in Its the end of Jake as we know it