TurboTax does not pay taxes owed so would not have a receipt for the payment.
Your proof of payment is the cancelled check, bank statement or credit card statement depending on how you paid for the taxes owed.
No. TurboTax never even knows when, how or even if you paid your tax due. Your proof that you paid your tax due is your own bank or credit card statement or cancelled check. The IRS does not send a receipt to you.
The IRS payment history is the #1 source that the payment was made ... you can download and print that account transcript page to give to the mortgage company along with the proof of payment from your bank which should be more than enough.