Here is what I found:
Food Products (Prepared)
You may bring bakery items and certain cheeses into the United States. The APHIS Web site features a Travelers Tips section and Game and Hunting Trophies section that offers extensive information about bringing food and other products into the U.S. Many prepared foods are admissible. However, bush meat made from African wildlife and almost anything containing meat products, such as bouillon, soup mixes, etc., is not admissible. As a general rule, condiments, vinegars, oils, packaged spices, honey, coffee and tea are admissible. Because rice can often harbor insects, it is best to avoid bringing it into the United States. Some imported foods are also subject to requirements of the U.S. Food and Drug Administration.
And from APHIS directly:
Generally Allowed Food Items
The following food items are generally allowed entry:
Condiments such as oil, vinegar, mustard, catsup, pickles, syrup, honey without honey combs, jelly, and jam.
Foodstuffs such as bakery items, candy, and chocolate.
Hard cured cheeses without meat, such as parmesan or cheddar.
Canned goods and goods in vacuum- packed jars (except those containing meat or poultry products) for personal use.
Fish or fish products for personal use.
Powdered drinks sealed in original containers with ingredients listed in English.
Dry mixes containing dairy and egg ingredients (such as baking mixes, cocoa mixes, drink mixes, instant cake mixes, instant pudding mixes, liquid drink mixes containing reconstituted dry milk or dry milk products, potato flakes, and infant formula) that are commercially labeled, presented in final finished packaging, and require no further manipulation of the product are generally allowed.
Remember, you must declare all food and agricultural products, including those listed above, to a CBP agriculture specialist or officer when you arrive in the United States.
Emphasis mine.