In an electroosmotic flow cell with two electrooxidizable and electroreducible reactants in its electrodes, the net cell reaction underlying the flow-driving proton flux from the anode to the cathode has three possible scenarios: (a) thermodynamically downhill, i.e., assisting the flow; (b) zero flow, which neither assists nor retards the flow; and (c) thermodynamically uphill, which retards the flow. A nongassing test cell was built with a ceramic membrane sandwiched between two identical electrodes comprising CeO2-x, nanoparticle-decorated, nitrogen-containing graphene oxide sheets. We demonstrated the switching between the three possible flow and current regimes as reactants were exhausted in the redox active CeO2-x, and the nitrogen-containing graphene electrodes.