If your State Refund was lower than expected, there can be a few reasons why this would happen. To be 100% certain, you will need to contact the GA State Department of Revenue by clicking on the link below:
https://dor.georgia.gov/contact-us
The reason you would need to contact them directly, is that we would have no way of knowing why a refund would be reduced or withheld, only the agency which issued the refund would have insight into this.