Your federal tax return had to be Accepted by the IRS for the e-filed state tax return to be Accepted by the State or you would not have received your state tax refund.
If accepted by the IRS use the federal tax refund website to check the refund status - https://www.irs.gov/refunds
After the tax return has been Accepted by the IRS (meaning only that they received the return) it will be in the Processing mode until the tax refund has been Approved and then an Issue Date will be available on the IRS website.
See this IRS website for federal tax refund FAQ's - https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions
