A method of manufacturing a backed cross-ply prepreg comprises cutting, using a cutting machine, a first continuous length of a unidirectional prepreg into first prepreg segments, each having an opposing pair of segment cut edges that are non-parallel to a lengthwise direction of the unidirectional prepreg. The method also includes picking up, using a pick-and-place system, the first prepreg segments off of the cutting machine, and placing the first prepreg segments in end-to-end relation onto a conveyor belt of an adhesion machine, and in an orientation such that the segment cut edges are generally parallel to a lengthwise direction of the conveyor belt. The method also includes feeding, using the conveyor belt, the first prepreg segments to an adhesion station of the adhesion machine, and adhering, using the adhesion station, the first prepreg segments to a continuous length of a backing material.