A method for making a shredded product having a marbled surface and the resulting product are provided. The method includes partially cooking an uncooked mass in a first cooking process to form a partially cooked mass and then combining the partially cooked mass with an inclusion component to form an inclusion mass. The inclusion mass is cooked in a second cooking process to form a fully cooked mass. The material is shredded to form continuous net-like sheets having a marbled appearance defined by a first portion of the continuous net-like sheets with the low or non-glutenous material having a first overall color and a second portion of the continuous net-like sheets with the inclusion component having a second overall color different from the first overall color.