Аннотация:In this paper we generalize our previous results on spin connection for the linear scalar cosmologicalperturbation in f(T ) theory to wider class of theories which includes a scalar field Φ non-minimallycoupled to torsion, and allows Φ-dependence of the function f. The case of f_{T T} = 0, with a scalarfield non-minimally coupled to torsion needs a special treatment. In both considered cases we deriveself-consistent equations of motion for cosmological perturbation using a solution for non-trivial spinconnection.