The 18-year-old Seguin scored late in the second period on a great individual effort to break a 1-1 tie, and the 42-year-old Recchi scored what turned out to be the game-winner early in the third period. The age difference between the two is 23 years, 364 days.
Seguin's fourth goal of the season was also his first in seven games and came after a pep talk during the first intermission from goaltender Tim Thomas, who made 34 saves to improve to 10-1-0.
"I was trying to tell Tyler after the first period, 'Come on, this is MSG,' " Thomas said. "He's like, 'What's MSG?' I'm like, 'Oh, man. This is a historic arena. This is what kids dream about playing in. Maybe not for the Rangers all the time, but playing in the building.'
"Then he went out and scored, so I'm proud of him."
The Bruins had erased a 1-0 deficit earlier in the second period on a goal by Milan Lucic. With 3:25 left before the second intermission, Seguin, who wasn't even born when Recchi was drafted in 1988, unveiled the skill that made him the second pick in the 2010 Entry Draft.
He pressured Rangers defenseman Matt Gilroy at the top of the Bruins zone and stripped him of the puck. Seguin blazed down the right wing and fired a laser of a wrist shot over the catching glove of goaltender Henrik Lundqvist to the Bruins ahead 2-1. It was a flash of talent that put the Bruins ahead for good against the Rangers.
Seguin said everything happened so fast that he couldn't remember details of his goal. "I just remember going wide and putting it over his glove," Seguin said.
Just 1:10 into the third period, Recchi scored his 566th career goal. It's safe to say it wasn't his prettiest.
Recchi had the puck near the right-wing circle and wasn't in a very dangerous shooting position. But he flipped the puck on net and it squeezed between the left arm and body of Lundqvist before coming to rest about two inches over the goal line.
Despite being the oldest player in hockey, Recchi has a very respectable 2 goals and 10 assists in 16 games this season. Was his goal Wednesday an example of a savvy veteran using his smarts by simply getting a puck on net?
"If you're going to score some goals, you've got to get some pucks to the net," Bruins coach Claude Julien said. "Doesn't matter how old you get. As long as you listen, it works."
"Just put pucks on net. That's definitely what Rechs did there and you'll take them any way you can get them," Seguin said. "He's a guy who's obviously got some experience. He's always a guy there to ask any type of question. "
The reason Recchi's goal held up as the game-winner was Thomas, who made 15 saves during the third period. Marian Gaborik cut the lead to 3-2 at 5:26 and the Rangers had a 5-on-3 for 1:44 later in the period, but Thomas came up with a big save off a Ryan Callahan deflection to protect the lead.
"Sometimes that make a goalie's job easier because you don't have time to think," said Thomas of the constant pressure in the third period. "Any situation you have to turn into a positive like that."
"It was just a terrible goal," Lundqvist said of Recchi's goal. " I was hoping for a tie game there on the 5-on-3, but Thomas came up big in the end there. I think we played great. It's just a mistake here and there."
The Rangers are now 0-for-4 this season during 5-on-3 power plays.
"Looking at it, there just wasn't enough puck movement," Rangers coach John Tortorella said. "We are just holding onto it too much. One guy is holding onto it instead of letting the puck work. It's something we need to work at because we haven't scored on that and that's a pretty important one."
The Rangers came into the game riding a three-game winning streak, but they've now gone 64 games since their last four-game winning streak. Brandon Dubinsky scored his 11th goal of the season off a rush down the right-wing side at 7:10 of the second period to put the Rangers ahead 1-0, but the Bruins responded with three straight goals.
Timely mistakes and an inability to capitalize on great scoring chances were the difference for the Rangers.
A turnover by defenseman Dan Girardi led directly to Lucic's goal, and Gilroy's inability to control the puck at his blue line led to Seguin's goal. Lundqvist let a soft shot get through him, and the Rangers misfired on a pair of 2-on-1s in the first period that could've changed the course of the game.
It wasn't a poor effort by the Rangers, who held the Bruins to just 20 shots, but lapses like those against quality teams like the Bruins are a recipe for disaster.
"I thought we worked pretty hard tonight," Dubinsky said. "I don't think they got too many scoring chances. A couple mistakes ended up in the back of the net in the second but for the most part I thought we played the game plan we wanted to. We just have to clean those up and we'll be fine."
Follow Dave Lozo on Twitter: @DaveLozo