Should I have to pay for the revision because my reduction is too small? (Photos)

Hi and welcome to our forum!
From your photos, it appears that a moderate reduction was performed. The nipples are of equal height, Due to your body habitus, the breasts appear relatively small. there is minimal-moderate breast asymmetry present. 
You may consider further tightening of the inferior breast pole of the larger breast and differential fill breast augmentation. Sizing is always difficult as each individual has a different concept of what breast size is "normal". 15% of cosmetic procedures require a secondary touch up. Was there a mandatory minimum volume of tissue removal required by an insurance carrier? Was the reduction required because of neck, back pain? 
Many plastic surgeons will discount secondary procedures. 
Best wishes...

Please keep in mind that insurance criteria would have required a minimum amount of breast tissue to be removed. Your breasts were not all that large, by typical criteria, and the outcome of a B cup should have been understood. I am not sure I understand what you mean with respect to liposuction unless that was for another area of the body. One alternative is to lose weight such the breasts are in better proportion. Good luck!