With 2:18 remaining in the half, Kolstad added to her total when Lizzy Vetter dribbled around the Scarlets' defense and passed to Kolstad, who was waiting in front of the net.
"That was a great goal," Osman said. "We talked about getting the ball to outside and finishing. We really executed it there."
Makela was pleased with how her squad, which she says is searching for cohesion early in the season, rebounded in the second half.
"I think the girls felt much better the way things went in the second half," she said. "We settled down and seemed to find our comfort level."
Both teams realized the importance of snatching a Big Nine Conference win against a crosstown rival just two games into the season.
"I learned the hard way last year," Osman said. "We finished third in the conference last year by one point, so this game matters so much."
West is 0-2 after opening the season against section-rival St. Peter on Thursday.
"It's unfortunate to play two of your biggest games in the beginning of the season," Makela said. "But I expect us to look a lot different in two weeks once we have time to jell and settle in."
Mankato East (2-0) plays again Tuesday at Winona. The Scarlets play Tuesday at New Ulm.