CHICAGO -- The Cleveland Indians roughed up Chicago White Sox star prospect Carlos Rodon in his major league debut Tuesday night in a 6-2 victory at U.S. Cellular Field.

The Indians broke the game open in the sixth and seventh innings, scoring four runs, sparked by pinch-hitter Ryan Raburn's pinch-hit, two-run single in the sixth off Rodon, who was called up to the White Sox on Monday.

Raburn's two-out single gave Cleveland (5-8) a 4-1 lead before second baseman Jason Kipnis drove in a run with a sacrifice fly and left fielder Michael Brantley following with an RBI single in the seventh.

Rodon entered the game with two outs in the sixth and with Indians runners on first and third base. The White Sox 2014 first-round draft pick struggled with his control before Kipnis and Brantley extended the Indians lead to five runs.

Rodon, who threw six straight balls to start, finished by throwing 2.1 innings, allowing a pair of earned runs while giving up three hits, walking three and striking out one.

The White Sox (5-8) threatened in the bottom of the eighth inning. After Jose Abreu's two-out single scored Adam Eaton, Chicago loaded the bases before Indians reliever Nick Hagadone struck out right fielder Avisail Garcia to keep the Cleveland lead at four runs.

The Indians led 2-1 when designated hitter David Murphy led off the top of the fifth inning with his first home run of the season. The solo shot was only the Indians' second hit and first since first baseman Carlos Santana led off the top of the second inning with a solo home run.

After failing to score until the ninth inning in Monday's 4-3 come-from-behind win, the White Sox wasted no time Tuesday night.

Abreu delivered a solo home run in the home half of the first inning off Indians starter Carlos Carrasco, who struck out four of the first five hitters he faced.

Carrasco, making his first start since being struck in the face by a line drive by Chicago left fielder Melky Cabrera on April 4, was solid otherwise, striking out eight hitters through four innings.

Cleveland quickly tied the score on Santana's leadoff solo home run in the second inning.

The White Sox threatened in the bottom of the inning as second baseman Micah Johnson singled and Eaton laid down a perfect punt single down the third-base line. But Carrasco quickly pitched out of trouble getting Cabrera to ground into a double play before striking out Abreu to end the inning.

NOTES: Before Monday night's four-run ninth inning in a 4-3 win over the Indians, the White Sox had scored six runs in the seventh inning or later, which is the fewest in the major leagues. ... The White Sox bullpen has a 1.25 ERA in eight games since April 11. Chicago relievers have given up three earned runs in 21 2/3 innings pitched, which ranks second best in the majors. ... Indians manager Terry Francona said utility player Zach Walters will start for Triple-A Columbus on April 22 and is healthy and "ready to go" after recovering from a strained right oblique muscle. Francona said the club will likely move Walters around position-wise while allowing him to get some at-bats. ... Indians 1B Nick Swisher, who is rehabilitating from knee surgery, will report to Columbus on April 23 and will likely start April 24 while trying to build up to game speed.