The Red Bulls – who’ve been known for a lack of continuity and revolving door of coaches since their MetroStars days – finally may be getting some stability. The latest sign is handing coach Jesse Marsch a multi-year contract extension.

“It’s nice when you find something that’s the right fit and you work with people that have the same value system,” Marsch said Friday after practice. “I knew there was symmetry, and a common belief in what it takes to be successful.

“I’ll be honest, I wasn’t sure if I’d ever find the right place again. But to find it in a place like this, where there are great resources, a great commitment to be successful I feel lucky.”

Sporting director Ali Curtis hired Marsch on Jan. 7, 2015, only a day after shockingly firing club legend Mike Petke and sending the supporters into near-revolt. Marsch was the 14th coach in the history of a club that just began play in 1996.

Despite losing stars Thierry Henry and Tim Cahill and having the league’s lowest payroll, Marsch coached the Red Bulls to the Supporters’ Shield in last year’s debut campaign and won MLS Coach of the Year. Now he got his extension as the team has surged up the table with a four-game unbeaten streak, including a 7-0 rout of rival New York City FC.

“This has been a great place for me, no doubt,’’ Marsch said. “I think the contract is a reflection of two things. First the organization’s belief in me, everything from Red Bull Global and back in Europe, to here and the leadership team [general manager] Mark de Grandpre and Ali Curtis.

“And it’s a reflection on the fact we have a community of people here that are all pushing together that believe in one thing and being a team together. The fact I’m a leader in that aspect means it makes sense to keep me around. I’m very thankful.”

Marsch’s team hosts Seattle at Red Bull Arena on Sunday night. The Red Bulls own a three-game winning streak and have climbed to second in the Eastern Conference by going 5-1-1 in their last seven matches.

“Jesse is an excellent person and the perfect coach for this club,” Curtis said in a statement. “I’m excited that we agreed on a new contract. I enjoy working with Jesse every day and he continues to have an exceptional impact on the success of our club.”

Left back Kemar Lawrence underwent hernia surgery and will miss up to six weeks. … Midfielder Shaun Wright-Phillips is day-to-day with a hamstring injury not as severe as initially hoped. … Center back Aurelien Collin is expected to be back at practice Saturday and available Sunday.

NYCFC intent on quickly righting home woes

New York City FC won’t have to spend too long seething over Wednesday’s U.S. Open Cup ouster. They’re back in MLS action Saturday against the first-place Philadelphia Union at Yankee Stadium (1 p.m., YES), knowing they have to improve the worst home form in the league.

“You learn from your defeats,’’ defender Ronald Matarrita said through an interpreter. “This Saturday’s game is important to reaffirm the work the team has been doing and the individual levels we’ve had as well. … We have to win this Saturday at any cost and I think we’re doing a good job to come out with the three points on Saturday.”

NYCFC has only won once in nine games at the Stadium this year, the worst home record in MLS. After coughing up five leads at the Stadium — including a 1-0 second-half edge in a June 2 loss to Real Salt Lake in their last tilt before the Copa America break — they know they have to fix their play in The Bronx.

“The message is we need to react. We’re playing at home in front of our fans. We know that our home record is not the best, but this is the perfect game to put it right,’’ coach Patrick Vieira said. “I think the majority of the players didn’t play the game in the Cup. We worked well in the last few days, and I want and expect a response from the players.”

They should be rested, having only used three starters in Wednesday’s 1-0 U.S. Open Cup loss to the NASL Cosmos. Other than midfielder/defender Connor Brandt and midfielder Federico Bravo, NYCFC will have a healthy roster.

“It’s good to have the game on Saturday at 1 p.m. because I will expect a massive response from the players,” said Vieira, whose team is fourth in the Eastern Conference with 18 points, five behind the first-place Union and one behind both the Red Bulls and Montreal.

The East-leading Union are getting back keeper Andre Blake, who is returning from Copa America duty with the Jamaican national team. But they lost French midfielder Vincent Nogueira because of health issues, with both sides agreeing to terminate his contract on Thursday.