The federal refund cannot be used to pay your state tax due. You would have to either set up a direct debit to pay your state taxes or contact your state directly and pay them via phone, online or mail them payment. See below for why your federal refund can't be used to pay your state taxes.
If you need to pay your state tax due, you can go here How do I contact my state Department of Revenue? and choose your state and see what payment options they offer online, via phone or mail them payment.
Can I pay my state taxes from my federal refund?
