the loss for the Rockies, who have dropped five straight.
Franklin Morales came on and threw two scoreless innings before Castillo led off the sixth with his eighth home run of the season to cut Colorado's lead to 3 1.
Nolan Arenado homered and Logan (2 2) took Adidas Women's Duramo 6
after one pitch in the fourth due to back spasms.
"I faced him before and he threw me all curveballs," Baez said. "He's got a good curveball so I wasn't sitting on the curveball, I was trying to hit a fastball."
Both teams scored a run in the 11th to extend the game.
Baez homers in debut as Cubs top Rockies
"He had a few strikeouts but it wasn't for anxiousness," Chicago manager Rick Renteria said. "He didn't seem anxious at all. He got the first pitch he can hit and drove it."
"His back locked up and it doesn't look too good now," Rockies manager Walt Weiss said.
"Everybody was going crazy," he said.
Baez, a prized prospect called up before the game, played his first game in the big leagues with his family sitting behind home plate. He struck out in three of his first five at bats before hitting Boone Logan's first pitch of the 12th an estimated 414 feet into the Rockies' bullpen.
Rockies starter Brett Anderson allowed just one hit through three innings but left Adidas Energy Boost 2 Esm Green
When he crossed home plate he pointed to his personal fan club and went back to the dugout where he was greeted with cheers.
Hector Rondon (3 3) blew his fourth save but got the win and Carlos Villanueva picked up his second save.
Baez nearly had his first hit in the seventh when he a drove a ball hard to right field but it was caught to end the inning. He didn't miss when he got a fastball in the 12th.
work but faces a stiffer challenge at Coors Field.
The Rockies took a 2 0 lead in the second on Brandon Barnes' two run double over the bag at third base. He has 10 quality starts this season but hasn't had a victory since June 15. In 12 rehab outings this year Fujikawa has a 0.77 ERA and 13 strikeouts in 11 2 3 innings. He last pitched in a major league game on May 26, 2013.
Cubs: Jake Arrieta (6 2, 2.11) will try to duplicate his strong start last week when didn't allow a Rockies' baserunner until late into the fifth inning in the Cubs' win at Wrigley Field. The righty allowed just three hits in seven innings of Harden Black
Arenado tied it in the bottom of the seventh with his 10th home run of the season.
Rockies: Shortstop Troy Tulowitzki is eligible to come off the disabled list Wednesday but hasn't started baseball related activities. The leading hitter in the major leagues has Adidas James Harden 1 Shoes been out since suffering a left hip flexor strain in Washington on July 19 and manager Walt Weiss said Tulowitzki could return in the next week.
Rockies: Right hander Jordan Lyles (5 1, 3.52) will return to the rotation after missing two months with a fractured left hand. Lyles, acquired in an offseason trade with Houston, was pitching effectively before suffering the injury on a comebacker against Arizona on June 4.
The Cubs drew nine walks and only had six hits.
The shaky Colorado bullpen faltered in the seventh. Three relievers combined to walk six batters in the inning, three of which scored to give the Cubs a 4 3 lead.
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