After you file

You have enter ALL of your income on a tax return before it is filed.

 

You will have to wait for the IRS to either accept or reject your e-filed tax return after January 23.

If Rejected then you can enter the income you should have reported on the filed tax return and then e-file again

If Accepted then you will have to wait for the IRS to process the tax return and send the refund, assuming you have a tax refund.

Once the refund has been received then you will have to amend the tax return that was filed to add the additional W-2's you received.  An amended tax return can take up to 6 months for the IRS to process.

See this TurboTax support FAQ for amending a tax return - https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-return/amend-change-correct-return-a...