You contact the state for the status of the state tax refund. Did you e-file the state tax return and was it Accepted by the state?
Use this TurboTax website to check the status of an e-filed return and if it was either accepted or rejected - https://turbotax.intuit.com/tax-tools/efile-status-lookup/
If accepted by the state of Virginia use this website to check the refund status - https://www.tax.virginia.gov/wheres-my-refund
For refund-related questions - https://www.tax.virginia.gov/contact-us
