The announcement was made just nine days after the two men worked together on the 67th annual Grammy Awards telecast.
Shawn Mendes and The Weeknd are close behind, with four nods each.
Poehler and Yang both rose to fame on Saturday Night Live, which is enjoying an especially high profile as it celebrates its 50th season.
Performers included Emmylou Harris, Rosanne Cash, Margo Price, Bonnie Raitt, Tom Morello, Joe Henry, Lucinda Williams, Taj Mahal and Baez herself.
The "Espresso" singer will be awarded the global success trophy at the upcoming ceremony.
'The Greatest Night in Pop,' about the 'We Are the World' recording session, also won.
The Grammy winner shared some "film from Sunday" on Instagram.
The awards recognize film and TV achievements by actors and other talents aged 50+. Timothée Chalamet won't be eligible for 21 more years.
The 'Wicked' co-stars were seated next to each other at the Feb. 7 ceremony.
Jon M. Chu, the director of Wicked, won for best director.
