My husband was offered a voluntary layoff, if he accepts it, is he still eligible for unemployment?

According to the Missouri Department of Labor, when you file a claim, you must report all your employers for the past 18 months, including those from another state. So you can apply in Missouri and then the state will request the wage information from Kansas.

I do not know if a "voluntary layoff" is considered a voluntary quit or not. Usually, one is considered ineligible for benefits if he quit voluntarily. But there are usually exceptions. Your husband's situation may be an exception since technically a layoff is not quitting. One precaution to take is make sure that the employer clearly and in writing states that your husband is being offered a voluntary layoff and the reason for it. You may also want to contact the Department of Labor and see if they can tell you if a voluntary layoff is considered quitting and what your husband's rights are in that situation.