Shrugging rhymes with:
drugging, bugging, chugging, debugging, drugging, hugging, lugging, mugging, plugging, slugging, snugging, tugging
Shrugging sounds like:
saracens, scorching, scourging, screeching, scroggins, searching, seriousness, sharking, shearson's, shirking, shrieking, sourcing, surgeon's, surgeons, surgeons', surging