Although your husband's name should appear on Form 564, Credit for Employees in the Aerospace Sector, the credit is transferred to Line 16 of Form 511-CR, Other Credits Form, which doesn't specify which taxpayer the credit is for.
As long as you provide Form 564 and use the proper credit amount for your husband only, you should be fine. Form 564 isn't available for electronic filing, so you'll need to print and send your state return. See TurboTax's Tax form availability app and the TurboTax Help article Can I file my federal taxes now and skip my state for later? for state filing guidance.
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