No Texas pitcher has won 16 games in any of the last four seasons.
The last time a Rangers pitcher won 16 was 2000, when Rick Helling finished 16-13.
Rogers has 15 wins for the first time since 1998, but only three have come since the All-Star break. The 39-year-old left-hander is 3-3 with a 6.02 ERA in his last eight starts.
He lost 7-4 to Johan Santana and the Minnesota Twins on Monday, giving up six runs, 10 hits and four walks over 5 2-3 innings. He had won his previous two starts, allowing a combined five runs over 11 2-3 innings.
“Kenny was one pitch away but with a guy like Santana, there’s not much margin for error,” Rangers manager Buck Showalter said. “That’s a tough proposition with Santana.”
The Rangers took the series opener 6-4 on Friday, beating the Orioles for the first time in 10 tries and sending them to their 11th straight loss.
Texas has won 11 of its last 14 games overall and remains two games behind Boston for the AL wild card.
Eric Young reached base in all four plate appearances and drove in two runs for the Rangers. Rafael Palmeiro was 1-for-3 with a walk in his first game against the team with which he wanted to end his career. Last winter, the Rangers declined to offer salary arbitration to the slugger, who hit his 500th homer in Texas last year.
Palmeiro is 4-for-34 (.117) in his last 10 games and is hitting a career-low .247 with just 14 homers and 63 RBIs.
Miguel Tejada homered and went 3-for-5 with two RBIs, and Jay Gibbons drove in two runs for Baltimore, which is in the midst of its longest skid since 2002, when it closed out the season with 12 straight defeats.
Tejada was 1-for-15 (.067) with one RBI in his previous four games.