As I understand it, these distributions occurred in 2023.
With regard to the first case, the excess contribution is includible on your 2022 tax return which you can do by entering a code-P 2023 Form 1099-R into 2022 TurboTax with the excess amount shown in boxes 1 and 2a. The earnings will be reported on a code-8 2023 Form 1099-R that you'll enter into 2023 TurboTax next year.
With regard to the second case, whether the excess is reportable on your 2022 tax return depends on how the plan will code the distribution on the 2023 Form 1099-R. Code P would mean it would be reportable on your 2022 tax return like the first case. However, I think it's more likely to be reported with code E which will mean that it's taxable on your 2023 tax return. The earnings and tax withholding are reportable on your 2023 tax return and would be included on the code E Form 1099-R if that is how the corrective distribution is reported.
