A kinetic theory of transfer processes in a binary gas mixture in a capillary under the action of resonant laser radiation in the presence of pressure, temperature, and concentration gradients is presented. Based on linearized modified Boltzmann equations for the resonant and buffer gases, expressions for kinetic coefficients describing the transfer processes of mass, heat and emitted electromagnetic energy by the excited particles of the gas mixture are obtained. For the cross coefficients, the Onsager reciprocal principle is proved, which is valid for any Knudsen numbers and any law of interaction of gas mixture particles with each other and the boundary surface. Light-induced phenomena associated with the system's possible non-equilibrium stationary states are analyzed.