I check the wrong owner box on an 1099-R I checked my name instead of my wife's.Returns have been transmitted and accepted. This is for year 2018.How do I fix this?

There is nothing to fix since it has no effect on an income tax return. 

That is not necessary true if the 1099-R had a penalty or required an associated 8606 form to be filed.  The penalty (5329 form) and 8606 form must be in the spouses name that the 1099-R belongs to, and would require amending to correct.  That might not change the tax, but can affect IRS records,  future tax returns, and carry forward amounts.

This 1099-R was from Teacher retirement system distribution code 7 I did not receive forms 5329 or 8606.

Also I went back into TurboTax and made the correction and the numbers did not change.

I would not worry about ti then.   If the IRS ever sends a letter (doubtful) then a simple phone call should clear it up.

The IRS doesn't get the HIS/HERS designators in the efiled return ... those are just used by the program to prompt the need for the 5329 or 8606 as mentioned above.

They do if there was any box 4 Federal tax withheld.  They get the exact copy of what was entered on the 1099-R screen including the taxpayers name (the same as if the physical 1099-R form was attached to a paper mailed tax return).  The federal tax withholding must match what is in the taxpayers (SSN and name on the 1099-R form) withholding account.