Nematic cell with light intensity spatial grating is considered. The influence of periodic spatial modulation of the director anchoring energy and the easy orientation axis at the cell surfaces on the director spatial distribution in the liquid crystal bulk under the action of light is investigated. It is shown that in both cases the director distribution takes the form of a superposition of the cosine gratings with periods which are the linear combinations of the light intensity and boundary condition periods. The Frederiks transition threshold value is calculated for homeotropic cell with periodic modulation of the anchoring energy.