How can you contact the nabisco foods company? Contact Nabisco customer service. You can call Nabisco at (855) 535-5666 toll free number, write an email, fill out a contact form on their website www.snackworks.com, or write a letter to Mondelēz Global LLC, 100 Deforest Avenue, East Hanover, New Jersey, 07936, United States.What products does nabisco make? Nabisco makes an assortment of foods, including Oreo cookies, Honey Maid graham crackers and Triscuit snack crackers. It is also the maker of Ginger Snaps cookies, Teddy Grahams snack crackers and Barnum's Animals animal crackers.What does nabisco mean? Freebase(0.00 / 0 votes)Rate this definition: Nabisco. Nabisco is an American manufacturer of cookies and snacks. Headquartered in East Hanover, New Jersey, the company is a subsidiary of Illinois-based Mondelēz International.