We consider twin supergravities-pairs of supergravities with N+ and N- supersymmetries, N+ > N-, with identical bosonic sectors-in the context of tensoring super Yang-Mills multiplets. It is demonstrated that the pairs of twin supergravity theories are related through their left and right super YangMills factors. This procedure generates newtheories from old ones. In particular, the matter coupled N(-)twins in D = 3, 5, 6 and the N- = 1 twins inD = 4 have not, as far as we are aware, been obtained previously using the double-copy construction, adding to the growing list of double-copy constructible theories. The use of fundamental matter multiplets in the double-copy construction leads us to introduce a bifundamental scalar that couples to the well-known biadjoint scalar field. It is also shown that certain matter coupled supergravities admit more than one factorization into left and right super Yang-Mills-matter theories.