Could be a sign of a bigger turn. Could just be a two-game respite from what&rsquo;s become a frustrating season.</p><p>Royals fans will know more after what promises to be a tough seven-game road trip this week to Detroit and Boston, 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 &mdash; the latest a 6-3 victory over the Chicago White Sox on Sunday in front of 15,915 fans at Kauffman Stadium.</p><p>&ldquo;We had a little luck,&rdquo; Royals manager Trey Hillman said, &ldquo;but we&rsquo;ll take it.&rdquo;</p><p>Tonight in Detroit, Gil Meche will try to give the Royals their first three-game winning streak since mid-June. He&rsquo;ll do so with an offense that&rsquo;s scored 12 runs in its last two games, its highest output since scoring seven in back-to-back games against the Cincinnati Reds on June 13-14.</p><p>Miguel Olivo highlighted a 14-hit attack with a two-run homer &mdash; his team-leading 13th &mdash; on a slider that quickly made its way from Olivo&rsquo;s bat to the camera bay between the bullpen and the seats in left field in the fifth inning. </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&rsquo;s a short escape from the frustrations of a season that started out so promising.</p><p>&ldquo;We finally got the bats going the last couple of days,&rdquo; said Mark Teahen, one of five Royals with multiple hits. &ldquo;Our pitching&rsquo;s been really solid all season. We need to get the bats going to win games, and we&rsquo;ve done that the last couple of games.&rdquo;</p><p>Bannister 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&rsquo;s a bizarre split, one that Bannister has no explanation for. He once joked that his fastball looks faster in day games because hitters are hungover.</p><p>&ldquo;I can&rsquo;t help you there, buddy,&rdquo; Hillman said. &ldquo;I don&rsquo;t have any idea. I really don&rsquo;t.&rdquo;</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 &mdash; his last inning. He gave up a walk in the first, a leadoff double in the second, and a leadoff single in the fifth without anyone scoring.</p><p>&ldquo;I have a lot of emotion against these guys,&rdquo; Bannister said, &ldquo;because they&rsquo;ve beaten me so bad over the years, and I spent such a big part of my childhood in Chicago, at Comiskey. It&rsquo;s important to me to go out there and do well, and I threw everything I had at them.&rdquo;</p><p>The Royals had trouble early against White Sox starter Clayton Richard, who struck out the side &mdash; Teahen, Olivo and Brayan Pe&ntilde;a &mdash; in the second inning.</p><p>But that effectiveness disappeared in the third inning and beyond, when Royals hitters faced him a second time. Three singles produced a run in the third, and doubles by Teahen and Pe&ntilde;a highlighted a three-run fourth.</p><p>&ldquo;We made an adjustment,&rdquo; Pe&ntilde;a said. &ldquo;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.&rdquo;</p><p>The Royals got some luck, too &mdash; with Alberto Callaspo&rsquo;s RBI single coming on a weak flare over a drawn-in infield, and David DeJesus&rsquo; RBI single dribbling through the left side of the infield.