Let (H , α H , β H , ψ H , ω H , S H) be a BiHom-Hopf algebra and (A , α A , β A) be an (H , α H , β H , ψ H , ω H) -BiHom-bimodule algebra, where the maps α H , β H , ψ H , ω H , α A , β A are bijective. We first prove the Maschke-type theorem for the BiHom-L-R smash product over a finite-dimensional semisimple BiHom-Hopf algebra. Next we give a Morita context between the BiHom-subalgebra A b i H and the BiHom-L-R smash product A ♯ H.