Mn-based catalysts like hopcalite (Cu–Mn oxide) are widely studied for low-temperature CO oxidation, with efforts focused on enhancing their redox properties. Incorporating defect-free graphene as a support has shown promise in improving both structural and catalytic performance, making the development of scalable graphene-supported Cu–MnOx (Gr/Cu–MnOx) composites highly desirable. In this study, fluid flow control systems were effectively employed to produce exfoliated graphene sheets, which were subsequently utilized for synthesizing Gr/Cu–MnOx composite catalysts. The enhanced shear stress and mass transfer within the fluid flow system improved the textural properties of the composite catalysts, resulting in higher surface areas and pore volumes compared to those of the unmodified Cu–MnOx composite. The Gr/Cu–MnOx composite catalysts exhibited superior toluene removal performance, achieving a T90 value of 200 °C, surpassing the T90 value of 250 °C of the unmodified Cu–MnOx composite. Furthermore, the water resistance was assessed by evaluating the catalytic performance after exposure to 5 vol% water vapor. The presence of hydrophobic graphene in Gr/Cu–MnOx enhanced water resistance compared to that of unmodified Gr/Cu–MnOx.