A method of forming reinforced packages. The method can comprise forming an attached web by adhering a blank to a web of material and moving the attached web in a downstream direction through at least a tube forming assembly and a carton forming assembly. The method also can comprise at least partially forming a tube by folding at least a portion of the web of material as the attached web moves through the tube forming assembly, forming a reinforcement sleeve by folding at least a portion of the blank so that the reinforcement sleeve extends at least partially around the tube as the attached web moves through the carton forming assembly, and forming a reinforced package comprising the reinforcement sleeve and a tube portion by separating the tube portion from a remainder of the tube, the reinforcement sleeve being adhered to the tube portion.