In this article, we investigate the contribution of the higher-twist Feynman diagrams to the large-p(T) inclusive single meson production cross section in photon-photon collisions and present the general formulas for the higher-twist differential cross sections in case of the running coupling and frozen coupling approaches. The structure of infrared renormalon singularities of the higher-twist subprocess cross section and the resummed expression ( the Borel sum) for it are found. We compared the resummed higher-twist cross sections with the ones obtained in the framework of the frozen coupling approach and leading- twist cross section. We obtain, that ratio R = (Sigma(HT)(M+))res / (Sigma(HT)(M+))(0), for all values of the transverse momentum p(T) of the meson identically equivalent to ratio r = (Delta(HT)(M))(res) /(Delta(HT)(M))(0). It is shown that the resummed result depends on the choice of the meson wave functions used in calculation. Phenomenological effects of the obtained results are discussed.