Retirement tax questions

You got a Form 1099-R for $13,147.30  because that is how much you converted in 2021.

You stated you have Form 8606 when you entered the recharacterization on your 2020 return. You will need your basis from line 14 and enter this during the TurboTax interview (either steps 9 and 10 when you enter your 2021 contribution or steps 11 and 12 when you enter your 1099-R).

To enter the 2021 nondeductible contribution to the traditional IRA:

1. Open your return
2. Click “Deductions &Credits” on the top
3. Click "I'll choose what to work on"
4. Scroll down to “Traditional and Roth IRA Contributions” and click “Start”
5. Select “traditional IRA”
6. Answer “No” to “Is This a Repayment of a Retirement Distribution?”
7. Enter the amount you contributed
8. Answer “No” to the recharacterized question on the “Did You Change Your Mind?” screen
9. Answer the next questions until you get to “Any Nondeductible Contributions to Your IRA?” and select “Yes” since you had nondeductible contributions before this tax year
10. Enter your $6,000 basis in the Traditional IRA from the 2020 recharacterization (line 14 of your 2020 Form 8606) 
11. On the “Choose Not to Deduct IRA Contributions” screen choose “Yes, make part of my IRA contribution nondeductible” and enter the amount (if you have a retirement plan at work and are over the income limit it will be nondeductible automatically and you only get a warning and then a screen saying $0 is deductible).

To enter the 1099-R distribution/conversion: 

1. Click "Federal Taxes" on the top and select "Wages & Income"
2. Click "I'll choose what to work on"
3. Scroll down and click "Start" next to "IRA, 401(k), Pension Plan (1099-R)" 
4. Answer "Yes" to the question "Did You Have Any of These Types of Income?"
5. Click "I'll Type it Myself"
6. Choose "Form 1099-R, Withdrawal of Money from 401(k) Retirement Plans, Pensions, IRAs, etc."
7. Click "Continue" and enter the information from your 1099-R
8. Answer questions until you get to “What Did You Do With The Money” and choose “I moved it to another retirement account”
9. Then choose “I did a combination of rolling over, converting, or cashing out money.” and enter the amount next to "Amount converted to a Roth IRA account"
10. On the "Your 1099-R Entries" screen click "continue"
11. Answer "yes" to "Any nondeductible Contribution to your IRA?"
12. Answer the questions about the basis from line 14 of your 2020 Form 8606 and the value of all traditional, SEP, and SIMPLE IRAs