In this paper, we establish some new composition results for Sp almost automorphic functions and Sp weighted pseudo almost automorphic functions, where we used a Lipschitz condition involving essential sup norm, and then the condition used here is weaker than or different from the ones used before. As an application, we present an existence and uniqueness of mild weighted pseudo almost automorphic solutions to semilinear differential equations with an Sp weighted pseudo almost automorphic term.
