When you sign onto your TurboTax online account and land on the Tax Home web page the date the tax return was transmitted and the date the tax return was accepted are shown for both the Federal and State tax returns at the top of the web page.
It does not show up on mine. Maybe because I'm on a smart phone? All it shows is the day it was accepted. Meanwhile the IRS has not sent me an acknowledgement letter and it's been over a month now