These actions are not supportive. Instead they will cause your husband to feel attacked.
DO NOT Question him repeatedly about following up on job interviews and applications.
Ask once, and let it go. When you do ask, do it in an upbeat tone as if you expect a positive answer. If the news is less than stellar, simply change the topic to something more uplifting, especially something that your husband can control and succeed at.
DO NOT Nag about work around the house.
You may think that since he's not working he can become a house husband, taking up the cooking, dishes, and cleaning. Remember that job hunting is hard work, and he needs time to spend looking for work, making calls, filling out applications, and browsing job listings. He may be facing some depression. Give him time to decompress from his previous job. He may even need some time to grieve if the lay off was terribly painful or personal. Write a "honey-do" list and leave it where he can see it. Nagging is counterproductive.
DO NOT Become a miser.
Obviously you will want to become more frugal, putting the brakes on needless spending. But everyone needs a treat occasionally whether he is working or not. Imagine how painful it would be if you normally stop to get icecream on Saturday night but this week you say, "Well, since you're not working, I think we shouldn't get ice cream." Ouch! That's painful. Instead, suggest a trip by the grocery store to buy more affordable ice cream by the gallon and make homemade sundaes at home.