  In the present paper we provide a general algorithm to compute multiplicative
cohomological operations on algebraic oriented cohomology of projective
homogeneous G-varieties, where G is a split reductive algebraic group over a
field of characteristic 0. More precisely, we extend such operations to the
respective T-equivariant (T is a maximal split torus of G) oriented theories,
and then compute them using equivariant Schubert calculus techniques. This
generalizes an approach suggested by Garibaldi-Petrov-Semenov for Steenrod
operations. We also show that operations on the theories of additive type
commute with classical push-pull operators up to a twist.
