The Twins were swept for the third time this season.
"We're just not supporting our pitching that we are getting particularly well," Twins manager Paul Molitor said. "You can talk about matchups late in game and all those types of things, but the reality is … we cannot seem to get a hit."
Mitch Haniger reached on a one-out walk, and Berrios' outing was done in the eighth inning after 106 pitches.
"He was just laboring a little bit," Molitor said. "When you are pitching in tight games, it's not just the [pitch] count, it is the type of game you are in."
Molitor brought in three relievers for Seattle's next three at-bats. Ryan Pressly struck out Nelson Cruz for the second out.
But Kyle Seager hit a single to center field off left-hander Zach Duke, and Healy followed by lining a double off Reed, a right-hander, in the left-center gap that split outfielders Eddie Rosario and Byron Buxton, giving the Mariners a 3-1 lead.
"That is just part of the game," Berrios said. "I couldn't complete the eighth inning. [Molitor] took me out. He left it to the bullpen. It just didn't work out today."
Minnesota got to Seattle starting pitcher Mike Leake early with back-to-back hits to open the second inning, capped by Eduardo Escobar's RBI double over Ben Gamel's head in left field, scoring Rosario to grab a 1-0 lead.
The Mariners tied it at 1-1 on Seager's leadoff home run off Berrios in the fourth.
At one point after the Seager home run, Berrios (5-5) retired 12 of 13 Mariners hitters, flashing an effective curveball. He ended up striking out eight.
Asked how he was going to celebrate the rest of his birthday, he said he would do it on the airplane to Kansas City, where the team plays next.
"Sleep," he said.
MOMENTS THAT MATTERED Considering how good Reed has been this season (2.36 ERA, seven holds), it is tough to criticize one poor outing. He did leave a 91 mph fastball up to Healy in an 0-1 count that the Mariners' first baseman rocketed into the gap to break the tie. And he did the same thing to catcher Chris Herrmann in the next at-bat that was ripped for a single.
MAUER MENDING It appears first baseman Joe Mauer, who has been on the 10-day disabled list since May 19 with a cervical neck strain, is close to resuming baseball activities, Molitor said.
Mauer was expected to do more batting, cardiovascular and weightlifting work Sunday. He also got in a limited batting practice session before he heads to Target Field on Monday for fielding and throwing.
MITEL REPLAY OF THE DAY In a 1-1 game, Detroit catcher Bobby Wilson threw out Gamel trying to steal second base with nobody out in the eighth inning. Mariners manager Scott Servais challenged the play, and the ruling that second baseman Brian Dozier tagged Gamel before he reached the bag would stand.
UP NEXT Coming off his longest start of the season (6 2/3 shutout innings in 6-0 win against Detroit on Tuesday), right-hander Lance Lynn (2-4, 6.34 ERA) will begin the team's three-game series Monday at Kansas City. It will be his fifth career start against the Royals. Kansas City will send right-hander Jakob Junis (5-3, 3.52) to the mound.
Todd Milles is a contributor to MLB.com based in Seattle.