It could be a sign of a bigger turn. It could just be a two-game respite from what’s become a frustrating season.</p><p>Royals fans will know more after what promises to be a tough seven-game road trip to Detroit and Boston this week, but at least for now, the team goes into this stretch with the good feelings that come along with playing much better in two consecutive wins — the latest coming Sunday in a 6-3 win against the Chicago White Sox in front of 15,915 fans at Kauffman Stadium.</p><p>“We had a little luck,” Royals manager Trey Hillman said, “but we’ll take it.”</p><p>Gil Meche will try to give the Royals their first three-game winning streak since June 16 Monday in Detroit.</p><p>He will do so with an offense that has scored 12 runs in two games, its highest output since scoring seven in back-to-back games against the Reds on June 13 and 14.</p><p>Miguel Olivo highlighted a 14-hit attack with a two-run homer, his team-leading 13th on a slider that quickly made its way from Olivo’s bat to the camera bay between the bullpen and seats in left field.</p><p>Add a second consecutive save for Joakim Soria that followed another solid day-game performance from Brian Bannister, and, at the very least, it’s a short escape from the frustrations of a season that began so promising.</p><p>“We finally got t he bats going the last couple days,” said Mark Teahen, one of five Royals with multiple hits. “Our pitching’s been really solid all season. We need to get the bats going to win games, and we’ve done that the last couple games.”</p><p>Bannister now is 4-2 with a 2.48 ERA in day games this season, and 2-4 with a 4.97 ERA at night. Over his career, he is 16-6 with a 4.15 ERA in the day and 13-26 with a 4.92 ERA with the lights on.</p><p>It was a bizarre split, one that Bannister has no explanation for. He once joked that his fastball looked faster in day games because hitters were hungover.</p><p>“I can’t help you there, buddy,” Hillman said when told of Bannister's explanation. “I don’t have any idea. I really don’t.”</p><p>Bannister mostly pitched around trouble, allowing two leadoff doubles, two wild pitches, a few long foul balls and never going 1-2-3 in an inning until the sixth, his last. He allowed a walk in the first, a leadoff double in the second, and a leadoff single in the fifth without anyone scoring.</p><p>“I have a lot of emotion against these guys,” Bannister said, “because they’ve beaten me so bad over the years, and I spent such a such a big part of my childhood in Chicago, at Comiskey. It’s important to me to go out there and do well, and I threw everything I had at them.”</p><p>The White Sox scored in the second inning on a double by A.J. Pierzynski, who moved to third on a wild pitch and scored on a sacrifice fly. Dewayne Wise followed the exact same formula to score in the third inning.</p><p>“I have a lot of emotion against these guys,” Bannister said, “because they’ve beaten me so bad over the years, and I spent such a such a big part of my childhood in Chicago, at Comiskey. It’s important to me to go out there and do well, and I threw everything I had at them.”</p><p>The Royals had trouble against White Sox starter Clayton Richard early, who struck out the side — Mark Teahen, Olivo and Brayan Pena — in the second inning.</p><p>But that effectiveness disappeared in the third inning and beyond, when the Royals hitters faced him a second time. Three singles produced one run in the third, and doubles by Teahen and Brayan Pena highlighted a three-run fourth.</p><p>“We made an adjustment,” Pena said. “We were trying to get in better counts, and that worked a lot better the second time through. That was the whole mentality. It really worked. The second time through, we went up there with a much better idea of what we wanted to do.”</p><p>The Royals got some luck there, too, with Alberto Callaspo’s RBI single coming on a weak flare over a drawn-in infield, and David DeJesus’ RBI single dribbling through the left side of the infield. Olivo’s homer came in the fifth.</p><p>Callaspo had two hits, making up for clutching his throw on what should’ve been an inning-ending double play in the fourth. Instead, it turned into a run-scoring fielder’s choice.</p><p>Callaspo’s mistake was the exception for the Royals, who mostly played well defensively. Callaspo robbed Jim Thome of a hit in the sixth inning, and DeJesus and Mitch Maier made nice catches in the outfield.</p><p>Now comes the hard part: A road trip against two good teams. It won't be the easiest way for the Royals to at least make up the two-game hole between their current 35-46 record and their mark at last year’s halfway point.</p><p>“I liked the approach much better,” Hillman said. “Hopefully this is the kind of confidence over the last couple days that will domino.”