The design of chemical reaction networks (CRNs) that couple to systems that phase separate is a promising avenue towards the realization of functional materials capable of displaying controlled non-equilibrium behaviors. However, how a particular CRN would affect the behaviors of a phase separating system is difficult to fully predict theoretically. In this paper, we analyze a mean field theory coupling CRNs to phase separating materials and expound on how the properties of the CRNs affect different classes of non-equilibrium behaviors. We examine the problem of achieving control over the size of phase separated condensates, by first considering tractable problems and illustrating the mathematical conditions leading to small wavelength instability. We then identify CRN motifs that are likely to yield size control by examining randomly generated networks and parameters. By analyzing the probabilities to observe particular states, we define simple design rules of CRNs that lead to desired non-equilibrium behavior. For example, we show that chemical interactions generating negative feedback facilitate size control, and that, similarly, chemical interactions should have effects counteracting those introduced by spatial interactions. We also adapt our mean field approach to the emergence of temporally oscillating patterns. Our results provide guidance toward the design of self-regulating material CRNs provide instructions to manage the formation, dissolution, and organization of compartments.