A packaging machine for placing articles into a carton includes rotating flight assemblies that receive a carton or carton blank, and rotate the carton blank and carton with articles while the flight assemblies move downstream. The flight assemblies each include two fixed segments and one segment that includes a block and associated bracket that rotate as the flight assembly is pulled through the machine by a conveying system. A method includes carton blanks being fed by a carton feeder onto the flight assemblies. Articles are formed into an article group, which is then placed onto a carton blank. As the blank and article group move in a downstream direction, the side panels of the carton blank are wrapped around the article group and the carton and article group are rotated to assist in closing the carton end flaps.