The company deducts the expenses related to the truck because it belongs to it. However, your spouse’s personal use of a company vehicle is a taxable fringe benefit. The amount usually is reported as such on Form W-2. There is nothing for your spouse to deduct…the company deducts the business driving and there’s no deduction for personal commuting.
Payments made to a separated or divorced spouse as required by a decree or agreement. Qualifying payments are deductible by the payor and taxable to the payee.