No. Because a Roth IRA custodian has no way to know about contributions you or your husband might have made to Roth IRAs at other custodians, it's *your* responsibility to track Roth IRA contribution basis, not the Roth IRA custodian's responsibility. A Form 1099-R for a distribution from a traditional or Roth IRA will never have an amount in box 5 and, if you do enter an amount in box 5, TurboTax will ignore it. You must tell TurboTax your Roth IRA basis by answering TurboTax's follow-up questions that ask about basis.
Because your husband's Roth IRA was transferred to your own Roth IRA, your husband's Roth IRA contribution basis has transferred to you as well. If your husband had made $15,000 in regular contributions to his Roth IRAs and you had contributed $13,000 to your Roth IRAs, your net contribution basis for years prior to 2016 is $28,000. Since your distribution was $29,646, the first $28,000 will be a distribution of your combined contribution basis and the remaining $1,646 will be a distribution of earnings, taxable and subject to a 10% early-distribution penalty unless a penalty exception applies. The result on your Form 8606 should be:
Line 19: $29,646
Line 21: $29,646
Line 22: $28,000
Line 23: $1,646
Line 25: $1,646 (becomes included on Form 1040 line 15b or Form 1040A line 11b)
Note that this leaves you with zero net contribution basis going forward from 2016.
Assuming no penalty exception, the result on your Form 5329 should be:
Line 1: $1,646
Line 3: $1,646
Line 4: $165 (propagates to Form 1040 line 59)
(I've assumed that you have no basis from Roth conversions)
