Novel therapeutic immunotherapy compositions comprising at least two vectors, each vector encoding a functional CAR, whereby the combination of vectors results in the expression of two or more non-identical binding domains, wherein each vector encoded binding domain(s) are covalently linked to a transmembrane domain and one or more non-identical intracellular signaling motifs are provided herein as well as are methods of use of same in a patient-specific immunotherapy that can be used to treat cancers and other diseases and conditions.