Coco Crisp finished 3-for-5 with a solo homer and two RBI for the Athletics, who earned a split in the series.
Mills (1-0) worked 6 1/3 innings, giving up nine hits and three runs while fanning four. Sean Doolittle struck out the side in the ninth to earn his 11th save.
Zack Wheeler (3-8) recorded only six outs in the loss, having allowed six runs on as many hits with four strikeouts and two walks.
Notable deaths of 2014 [PHOTOS]