FOXBOROUGH, Mass. — The New England Revolution booked a ticket to the M.L.S. Cup final on Saturday as two goals by Charlie Davies gave them a 4-3 aggregate win over the Red Bulls for the Eastern Conference championship.

The Revolution twice fought back from deficits to escape with a 2-2 tie in the second leg of the conference finals before a record crowd announced at 32,698 at Gillette Stadium. Ultimately, it was their 2-1 victory last week at Red Bull Arena that provided the margin that enabled them to advance. The Red Bulls needed a two-goal victory to advance without extra time.

“This game, what a game,” Revolution Coach Jay Heaps said. “I think it was two teams — it was also like a heavyweight fight, two teams going at it.

“I think in the end we didn’t follow exactly what we wanted to do. We didn’t want to give up the first goal or the second goal, but I really liked the way we responded, and it shows a lot of hunger in our guys.”