A multi-component composite block includes a pair of opposed and parallel masonry face panels amalgamated with transverse non-masonry truss-webs or a truss-module including a plurality of joined non-masonry truss-webs. Truss-webs and/or truss-module are delivered within the mold assembly and aligned, retained, and held fast in place by mold apparatuses. Portions of truss-web and/or truss-module unite together with mold apparatuses to shape partitioned residual cavity spaces for the addition of concrete block forming material to form face panels. The truss-web members and/or truss-module have configured elements that integrate with the concrete mass of the face shells providing a permanent amalgamated bond. The assembled multi-component composite block is rigidly stable, durable, structural, lightweight, and thermally efficient.