It depends.  Idaho taxes the income that you earn from all sources while living in Idaho, which includes the Nevada income you mention.  The question here is how the programming is picking up the income.  If on your husband's W-2, box 15 says "NV", and you're (correctly) filing a part-year return in Idaho, the program cannot automatically determine that the Nevada income belongs to the time you are an Idaho resident.  For this, you will need to allocate  (or designate) this income and claim it for Idaho.  Once you do, you will see the tax appear in the program.  Here is an FAQ on allocation:  https://ttlc.intuit.com/replies/4777389

Any amount, however, that your husband earned once you moved to Washington is not taxable to any state.  Neither Nevada nor Washington have state income tax, and Idaho cannot tax income neither earned in Idaho nor after you ceased being residents of Idaho.