The federal tax returns are sent to the IRS and the state tax returns are sent to the individual states. Federal and state are separate tax returns sent to separate tax authorities.
If accepted by the state use this TurboTax support FAQ to check the state tax refund status - https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-refund/track-state-refund/L3jgO8PGs_...
