Alongside captain Scott and centre Jordie, Beauden Barrett was one of three brothers to start the game for the All Blacks.
However, Scott was forced off after three minutes in a separate incident to Beirne’s red with a “laceration on his leg”.
Jordie, who played for Irish province Leinster during the second half of last season, was also taken off with a leg injury in the second half.
Beauden said Jordie’s injury “didn’t look great” and he was pictured with ice on his left kee after the game.
New Zealand face Scotland in Murrayfield on Saturday before taking on England and Wales to close our their tour.
“Obviously my bros are a bit beaten up,” Beauden Barrett said.
“I was super proud and happy with how we responded. I could have let that rattle me, seeing my two bros go off.
“I was impressed with how we stayed connected and stayed aligned on what we wanted to achieve, and we came away with the right result.”
Barrett was asked if he would ever fancy following in the footsteps of younger brother Jordie by playing in Ireland in a hiatus from the Blues in his native New Zealand, and replied that he had been asked that question by numerous Irish fans at a sponsor’s event in Chicago before the game.
“About 90% were Irish fans who came along and I reckon every one asked me that question. Mostly Leinster fans, but occasionally Munster fans,” Barrett said with a smile.
“It’s very tempting because I love the Irish and I’ve spent time there in the past.
“But I am 34 now so playing in Ireland might be a tough sell to my wife and family. Never say never.”