My exhusband lives in our home foreclosure proceedings started.I put a judgement for back child support .?

Yes you will. One issue does not relate to the other. As long as you have the kids, you will have a need to have a place to live, whether it's in your home or not and he has to provide for them so back child support will be issued regardless of the living situation. You have to live somewhere and he has to help provide for that.