This paper presents the results of a theoretical analysis of the contribution of the inverse flexoelectric and photoelastic effects to the photorefractive response that accompanies counterpropagating mixing of a steady-state reference wave with a phase-modulated signal wave on reflective holograms in samples of X -cut crystals of symmetry classes 23,43m,42m, 422, 622, 222, and 3m. Experimental studies of such mixing of waves with circular polarization of opposite signs in a Ba 12 TiO 20 :Ni crystal made it possible to estimate its flexoelectric coefficient.