As a chemically and structurally well-defined model for redox processes in the solid electrolyte interphase of battery electrodes, we investigate electron transfer to lithium ions at the interface between a platinum metal anode and a solid polymer electrolyte.Studied electrolytes include LiTFSI (lithium bis(trifluoromethane)sulfonimide) salts in polyethylene oxide and poly(diethylene oxide-alt-oxymethylene), as well as in the associated liquid electrolytes 1,2-dimethoxyethane and tetraglyme. Atomic-resolution simulations are performed with constant-potential polarizable electrodes to characterize interfacial electron-transfer kinetics, including lithium-ion solvation structures and solvent reorganization effects as a function of applied electrode potential. The linearresponse assumptions of the Marcus theory for electron transfer are found to be robust in these systems, yet ion-solvation behavior at the anode interface is strikingly dependent on chain connectivity, solvation environment, and the magnitude of the applied electrode potential, resulting in very different electron-transfer kinetics for lithium electroreduction.