f(R,φ,X) theory, combination of scalar-tensor and f(R)-class gravity, is examined for perfect fluid in Bianchi Type-I space-time. Hybrid model of Starobinsky-like and kessence is used. Two different forms of solution 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 f(R,φ,X) theory allows expanding or contracting cosmologies for obtained two forms of Bianchi Type-I space-time.
Kirezli et al. (2026) studied this question.