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"I think I have to enter the code E distribution into TurboTax  as two 1099-Rs."

No, you enter the code-E From 1099-r as a single From 1099-R as received.

I suspect that after you made the after-tax contribution that included the $2,126.60, the $2126.60 earned $197.15 of gains before you rolled $2,126.60 to the Roth IRA and $197.15 over to the traditional IRA.  Your previous questing about the code-G Form 1099-R indicated that these amounts were involved in a split rollover.  If so, yes, these amount represent regular contributions to the Roth IRA and the traditional IRA to the extent that they exceed the amount that you are eligible to contribute as a regular IRA Roth IRA and traditional IRA contributions for the year.

Unless the plan provided a corrected code-G Form 1099-R showing lesser amounts, the combination of these two Forms 1099-R suggest that you actually rolled over $52,126.60 to the Roth IRA and $5,197.15 to the traditional IRA, of which $2,126.60 and $197.15 became the regular contributions.  You'll want to check box your Forms 5498 from the Roth and traditional IRAs to see how much was actually deposited into each by the rollover to see if the amounts correspond to these suspicions.  If they do not, something might be wrong with what was reported on the code-G Form 1099-R.  (The IRA custodian will not know anything about any amount rolled over becoming a regular contribution since they have no way to know that any excess 401(k) contribution and attributable earnings that was ultimately ineligible for rollover was included in the rollovers, so the IRA custodian will not show these amounts as regular contributions.)  However, if the excess resulted from the plan failing ACP or ADP testing, I would generally expect that the plan would not know there was an excess contribution until after issuing the original code-G Form 1099-R and would have issued a corrected code-G Form 1099-R with the original amounts reduced by the amount of the excess.  Again, check the Forms 5498 that the IRA custodian will have already provided to you.