I'll assume that this not the first year that you were required to take RMDs. (If 2022 was the first year for which you were required to take RMDs from your retirement account, not an inherited account, the distribution is not late if you take it by April 1, 2023.)
Your question seems imply that you took some RMD in 2022. After completing the late distribution and entering your 2022 Forms 1099-R, click the Continue button on the page that lists the Form 1099-R that you have entered. TurboTax will ask if you completed your RMD for 2022. Answer that you received only part of your RMD. TurboTax will then allow you to enter the amount that you were required to receive and then allow you to request on Form 5329 a waiver of the excess-accumulation penalty. In the explanation statement indicate that you have now taken the late distribution.
The late distribution itself will be reportable on your 2023 tax return when you receive the 2023 Form 1099-R.
