I agree with the annuity company that the financial advisor made a mistake by requesting a transfer, so I would not expect the annuity company to agree to change the Form 1099-R.
There is no provision in the tax code that allows a 60-day rollover of a nonqualified annuity, so immediately upon being deposited into the non-annuity account it became an ordinary distribution from the annuity despite the reporting with code 6 on the Form 1099-R. Absent the annuity company issuing a corrected Form 1099-R, you'll need to submit a substitute Form 1099-R (Form 4852) to provide the correct reporting (with, presumably, code 7 in box 7 and the difference between box 1 and box 5 in box 2a. In TurboTax you'll need to mark the entry as being a substitute Form 1099-R.
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