Sounds like spam. Turbo Tax doesn't know if you owe back taxes. What about your 2023 tax return? What notification did you get? Did you have a tax due? Turbo Tax doesn't know if or when you paid a tax due for any year. If you had a tax due your returns will always show a tax due they aren't updated when you pay. That's just the result of your tax return.
To check for any back taxes you owe you would have to ask the IRS and State. You should set up a IRS account and check your account.
https://www.irs.gov/payments/your-online-account
And the IRS and states NEVER call you, text you, email you. They only send you letters in the mail.