Tom Brady led a fourth-quarter comeback for the 44th time in his career, as the Buccaneers beat the Saints.
After falling behind 16-3, Brady found Otton with a one-yard touchdown pass.
With just three seconds on the clock, Brady picked out White for a second score before Ryan Succop added the final point.
Brady had been tied with Manning on fourth-quarter comebacks.
Brady said it was great by the team. The defence hung in there all day.
I missed some throws, but I'm really proud of our team for hanging in there against a team we've always struggled with.
Brady, who announced his retirement in February only to change his mind 40 days later, completed 36 passes from 54 attempts for 281 yards.
Andy Dalton had 20 passes for 229 yards and a touchdown for the Saints. The Saints were unsuccessful in their attempts to get into the red zone.
The Saints are the worst team in the division with a record of 4-9.