MINNEAPOLIS -- Even the addition of Kevin Youkilis couldnt help the White Sox solve their troubles against left-handed pitchers on Monday night.Yet another opposing southpaw kept the White Sox quiet as Minnesotas Francisco Liriano outpitched Jake Peavy in a 4-1 contest in front of 35,659 at Target Field. Youkilis, who was acquired from the Boston Red Sox on Sunday in part because of his success against southpaws, went 1-for-4 in his debut as the White Sox record against left-handed starters fell to 8-13.The White Sox maintained their half-game lead in the American League Central over Cleveland, a 7-1 loser to the New York Yankees.Pitching one day after his former coach Darrel Akerfelds passed away after a 19-month battle with pancreatic cancer, Peavy (6-4) honored his friend with an AK inscription on his hat.The right-hander wasnt fooling Twins hitters early. The first two Minnesota hitters of the game reached base and Joe Mauer hit sacrifice fly before Peavy induced an inning-ending double play from Josh Willingham. The Twins took a 3-0 lead in the second inning as they combined three singles with an Alex Rios throwing error. Minnesota nearly went ahead 5-0, but Denard Spans second double of the game fell a foot shy of becoming a two-run homer.Peavy did eventually settle down even though he allowed five more men to reach in his final four innings.Peavy yielded three earned runs, 10 hits, walked one and struck out seven in six innings.Workmanlike as they were, Peavys numbers couldnt match those of Liriano (2-7).He came out firing and retired nine of the first 10 White Sox hitters he faced.Liriano continued a trend by White Six hitters when he only allowed six men on in seven strong innings and didnt allow a run until the seventh. The White Sox are hitting .239 against left-handed pitching this year and .259 against righties.The White Sox did cut into a 3-0 deficit in the seventh. Rios became the first leadoff hitter to reach when he doubled in the seventh. He advanced to third on a wild pitch and later scored on Alexei Ramirezs sacrifice fly.Youkilis -- who hits 17 points higher against left-handers in his career (.299 vs. .282) singled in his fourth at-bat with one out in the eighth inning against Minnesotas Glen Perkins.White Sox pitchers combined to allow 20 men to reach base in eight innings. The Twins stranded 13 runners, including with the bases loaded in the eighth and ninth innings.