Make sure your offering hay to mom and the kits. You can also get infant oatmeal cereal and add a good tablespoon to the feed along with powdered goats milk. You will want to keep those bellies full so that they do not pick on one another. Don't use powdered cows milk. Too hard to digest. Our Tractor Supply and health food stores carry the powdered goats milk.
Don't worry if mom eats some. It quite alright. Just make sure babies are getting enough of the mix.
Have you checked to see if mom is drying up? Or only has one working nipple? Fighting can happen with this problem as well.