Unfortunately a Traditional IRA distribution, whether converted or not, is taxable income, unless there was non-deductible basis in the IRS to offset some or all of the tax. That taxable income will add to your AGI and the PTC is based on your AGI.
What do you mean "back to a Traditional IRA"? Once converted, recharacterizations of Roth conversions are prohibited, and a Roth can never be converted to a Traditional IRA.
**Disclaimer: This post is for discussion purposes only and is NOT tax advice. The author takes no responsibility for the accuracy of any information in this post.**
