"Missed the Woody Allen tribute - did they put the part where a woman publicly confirmed he molested her at age 7 before or after Annie Hall?" Farrow, an MSNBC on-air personality, tweeted Sunday.
Allen's adopted daughter Dylan has repeatedly alleged the 78-year-old "Blue Jasmine" filmmaker sexually molested her as a child but he has never been convicted of any crime.
Actress Mia Farrow, Ronan's mother and Dylan's adopted mother, posted numerous Twitter messages about the Globes show during the broadcast, but checked out when her former partner was honored, the Hollywood Reporter said.
"Time to grab some ice cream & switch over to #GIRLS," Mia Farrow tweeted.
Ronan Farrow remains estranged from Allen, who married Mia's adopted daughter, Soon-Yi Previn, in 1992.