In this paper we introduce and study Hom-type bimodules of some Hom-algebraic structures endowed with Rota-Baxter relations. We introduce bimodules over Homassociative Rota-Baxter algebras and give their various twisting and their connection with bimodules over Hom-preLie algebras. Then we introduce Rota-Baxter q-Homtridendriform algebras. Next we express axioms defining q-Hom-tridendriform algebras by mean of vector basis. Moreover we introduce bimodules over q-Homtridendriform algebras and give some examples, and prove that they are closed by twisting. Finally we give their connection with Hom-associative Rota-Baxter bimodules. The aim of this paper is to introduce bimodules over some Homalgebraic structures endowed with Rota-Baxter relations. The paper is organized as follows. In section one, we recall basic notions related to modules over Hom-associative and Hom-Lie algebras. Section two is devoted to Rota-Baxter bimodules over Hom-associative Rota-Baxter algebras and their connection with bimodules over Hom-preLie algebras. In section three we introduce q-Hom-tridendriform RotaBaxter algebras. Most of the results (the varoius twisting) on q-Homtridendriform algebras are obviously analogs for Hom-tridendriform algebras and the proofs are identical nearly, so we omit them. We express axioms difining q-Hom-tridendriform algebras by mean of vector basis, which may be very usefull in the classification setting. In section four introduce bimodules theory for q-Hom-tridendriform algebra and we prove the commutativity of the following diagram HARBM HAM q HTDM HDMwhere HARBM denote the category of Hom-associative Rota-Baxter bimodules, q-HTDM denote the category of q-Hom-tridendriform bimodules, HDM denote the category of Hom-dendriform bimodules and HAM denote the category of Hom-associative bimodules.All vector spaces considered are supposed to be over fields of characteristics different from 2.