After completing the File section and e-filing your tax return you will receive two emails from TurboTax. The first email when your tax return was transmitted and the second email when the tax return has either been accepted or rejected.
If my Return was accepted in the test batch on the Jan13th. When should I get my refund ?
If accepted by the IRS use the federal tax refund website to check the refund status - https://www.irs.gov/refunds
See this IRS website for federal tax refund FAQ's - https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions