Cheerleader tuner “Lysistrata Jones,” which has struggled to carve out a foothold for itself since it began Broadway previews in November, will shake its last pompom and shutter Sunday.An industry buzzmagnet in a shoestring downtown production last year, “Lysistrata” was picked up by commercial producers hoping the comedy could snowball into a sleeper hit on the Rialto. But the production proved unable to overcome the twin hurdles of an unfamiliar title and a cast with no real stars. Show’s weekly B.O. tended to come in at $150,000 or less, with the holiday-boosted tally from last week, $326,500, repping an exception. A contempo college-kid redux of the Aristophanes play, “Lysistrata Jones” follows a feisty cheerleader who convinces a group of young women to stop putting out until the basketball team wins a game. Douglas Carter Beane (“Sister Act,” “The Little Dog Laughed”) provides the books for a score by Lewis Flinn. Dan Knechtges helms a cast led by Patti Murin, Liz Mikel, Josh Segarra, Jason Tam and Lindsay Nicole Chambers. Team of producers includes Paula Herold, Alan Wasser, Joseph Smith, Michael McCabe and John Breglio, among others. “Lysistrata Jones” shutters Jan. 8 at the Walter Kerr Theater.