Given how bonkers this shows writing was, I wouldn't put it past them to have actually written this "Yes! Cry harder, baby!" bit. But...I can't find this anywhere at all online. Is it real, or memed?
More work than I wanted to put into this, but in the interests of meme integrity, I just personally checked out Zyuranger episode 34, and yes, while it's not a direct literal translation of the original Japanese (She doesn't call him a baby - she just says "CRY CRY CRY!"), it's accurate in spirit.