Is that amount that I sent the IRA when filling an extension in the Federal Tax Due box at the top of the Intuit TurboTax Home & Business section?

The amount in the Tax Due box at the top of the TurboTax screen is not the amount that you sent with your extension. If you sent a payment with your federal extension, the amount that you sent should be on Schedule 3 line 10 in your tax return. If it's not there you have to enter it.

To enter the payment you made with your extension, type "estimated tax payments" (without the quotes) in the Search box, then click the link that says "Jump to estimated tax payments." That takes you to the screen that says "Estimates and Other Income Taxes Paid." Scroll down a little to the second section, "Payments with Extension." Click the Start or Update button for payment with 2023 federal extension.

You mentioned TurboTax Home & Business, but the tag below your question says that you are using TurboTax Online. There is no Home & Business in TurboTax Online. If you have further questions, please clarify whether you are using TurboTax Online or the CD/Download TurboTax software.

No, but it could be.  The running refund or tax due monitor at the top is the current tax due.  It should be after the extension payment.

If your extension payment did not automatically show up on your 1040 or state return you need to enter it.  So make sure it's not already there before you enter it!

For 2023 Federal Extension payments should be on scheduled 3 line 10. And go to 1040 line 31.

You can type estimates paid in the search box at the top of your return and click Find and it will give you a link to Jump To the screen where you enter Extension Payments.

To enter the amount you paid with an extension (including state extension)  go to

Federal Taxes (or Personal for desktop H&B version)

Deductions and Credits

Then scroll way down to Estimates and Other Taxes Paid

Other Income Taxes - Click the Start or Update button

Next page second section Payments with Extension

Either Visit All or Click Start or Update by the extension you paid

Did you enter the amount of the extension payment on your tax return or check to see if the amount has been entered?

To enter, change or delete a payment made with an extension request (Federal, State, Local) -

Click on Federal Taxes (Personal using Home and Business)
Click on Deductions and Credits
Click on I'll choose what I work on (if shown)
Scroll down to Estimates and Other Taxes Paid
On Income Taxes Paid, click on the start or update button

On the next screen select the type of extension payment made and click on the start or update button

Or enter federal extension payment in the Search box located in the upper right of the program screen. Click on Jump to federal extension payment