A manufacturing system includes a cutting machine, an adhesion machine, and a pick-and-place system. The cutting machine sequentially cuts a continuous length of a unidirectional prepreg into prepreg segments. Each prepreg segment has an opposing pair of segment cut edges that are non-parallel to a lengthwise direction of the unidirectional prepreg. The adhesion machine has a conveyor belt and an adhesion station. The pick-and-place system sequentially picks up the prepreg segments from the cutting machine, and places the prepreg segments in end-to-end relation on the conveyor belt, and in an orientation such that the segment cut edges are generally parallel to a lengthwise direction of the conveyor belt. The conveyor belt feeds the prepreg segments to the adhesion station. The adhesion station adheres the prepreg segments to a continuous length of a backing material, thereby resulting in a continuous length of a backed cross-ply prepreg.