This talk reports on recent progress in amplitude computations for broad classes of N<4 supergravities, using the framework provided by color/kinematics duality and the double-copy construction. These techniques are first applied to theories obtained from N=4 sYM and N=8 supergravity through an orbifold projection. Particular emphasis is given to the extension of color/kinematics duality to quiver gauge theories and to the study of amplitudes in the corresponding supergravity theories. Moreover, we extend the double-copy construction to a particular infinite family of N=2 Maxwell-Einstein supergravities in four and five dimensions. The global symmetries of these theories are easily gauged in this framework, giving the amplitudes of the corresponding Yang-Mills/Einstein supergravities.
