Expanding and contracting Bianchi type-I cosmologies in f(R,ϕ,X) theory

[Formula: see text] theory, a combination of scalar-tensor and [Formula: see text]-class gravity, is examined for perfect fluids in Bianchi Type-I spacetime. A hybrid model of Starobinsky-like and k-essence is used. Two different forms of solutions are obtained and discussed in Bianchi Type-I cosmology. Effective energy densities, effective pressures and necessary statements of energy conditions for both solutions are analyzed. It is discussed whether [Formula: see text] theory allows expanding or contracting cosmologies for the obtained two forms of Bianchi Type-I spacetime.