If the last year that you filed taxes with your husband was 2002, then that is the last year that the IRS can hold you responsible for any taxes that your husband may owe. Since you have been filing your own separate return since that time, the IRS cannot and will not hold you responsible for any taxes other than your own, at least starting with the 2003 tax year.
If your husband does owe taxes for years 2003 and beyond, the IRS could place a lien or a levy on any joint property that you own or any joint bank account which you have, because his name and SS number would still be tied to those assets. So you should be sure to get your money out of any joint bank accounts which you may still have, and if his name is XXXXX XXXXX the home, be sure to have this signed over to you in your divorce settlement, or even sooner if possible. While the IRS cannot come after you personally for his tax debts from 2003 and later, they can still attach a lien or levy to any property your jointly own, so you will want to move that property out of his name as quickly as possible.
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Thank you Lynda