Composite electrode pads/plugs are configured to be utilized in an electrical stimulator device, particularly one designed to provide surface-applied electrical twitch obtaining intramuscular stimulation (eToims®). The composite pads/plugs include a porous liquid absorbent (e.g., felt) plug sized to be placed in a receptacle of the stimulator device, and a composite pad of porous liquid absorbent (e.g., cotton) material that covers the plug. In an embodiment, the composite pad is formed of cotton stuffing material encased between two sheets of cotton mesh/pad material. The composite pads/plugs can serve to increase, and improve wetting of, the surface area which contacts the patient and delivers the electrical stimulation. In addition to convenience of application, the disclosed structures have been found to help reduce sharp pain felt by the patient during stimulation, without interfering with the ability of the electricity to penetrate deeply in order to provide effective eToims®.