When you search in Embase, you should always enter each term separately. When you begin to type, a list of possible Emtree terms appears below the search box.
Working with one concept at a time can be a useful way to work in Embase, so the first concept looks like this when translated by Embase: dietary intake'/exp OR 'dietary intake' OR 'food intake'/exp OR 'food intake'
The second search string looks like this: 'dairy product'/exp OR 'dairy product' OR 'milk' OR 'cheese' OR 'yoghurt'
Both searches can be combined with AND or OR using the Combine feature above search history..
Adding United States to the search brings the total down considerably.