Not sure what you mean by "the amount for State refund automatically shown" Automatically shown where?
Was the amount of the state refund you received less than you expected it to be? Was it less than the amount shown on your state tax return?
MY STATE REFUND WAS LESS THAN I EXPECTED
The state will send you a letter explaining the change. TurboTax does not get any feedback from your state after your return is accepted, so no one at TT knows why your state refund was less. Did you owe back taxes, child support, or student loans? Traffic fines, etc.?