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No, you will enter the two Form 1099-R separately. 

For the $6,000 backdoor Roth (assuming you made the nondeductible traditional IRA contribution in 2022) please follow the steps below.

To enter the nondeductible contribution to the traditional IRA:

1. Login to your TurboTax Account 
2. Click on "Search" on the top right and type “IRA contributions” 
3. Click on “Jump to IRA contributions"
4. Select “traditional IRA”
5. Answer “No” to “Is This a Repayment of a Retirement Distribution?”
6. Enter the amount you contributed
7. Answer “No” to the recharacterized question on the “Did You Change Your Mind?” screen
8. Answer the next questions until you get to “Any Nondeductible Contributions to Your IRA?” and select “Yes” if you had a nondeductible contribution before this tax year.
9. Enter your basis in the Traditional IRA from your 2021 Form 8606 line 14 (if you had a basis in the prior year)
10. 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 conversion: 

1. Click on "Search" on the top right and type “1099-R”  
2. Click on “Jump to 1099-R”
3. Click "Continue" and enter the information from your 1099-R
4. Answer questions until you get to “Tell us if you moved the money through a rollover or conversion” and choose “I converted some or all of it to a Roth IRA”
5. On the "Review your 1099-R info" screen click "Continue"
6. Answer "yes" to "Any nondeductible Contributions to your IRA?" if you had any nondeductible contributions in prior years.
7. Answer the questions about the basis from line 14 of your 2021 Form 8606 and the value of all traditional, SEP, and SIMPLE IRAs

For the pension to Roth IRA ($1,000), you will enter the Form and indicate in the follow-up questions that this was moved into a Roth IRA. 

If box 2a taxable amount has wrongly $0 then you will either have to ask the issuer if they will give you a correct Form 1099-R or you will have to make changes to your Form 1099-R to get TurboTax to report the rollover as taxable. Enter a zero in box 5 and indicate in the follow-up questions that the distribution was rolled over to a Roth IRA. Please see this excellent discussion from dmertz for additional information.