Use it up, offer it up for reuse if new/unopened, or put product in trash. Reuse the container, and check if your brand offers a take back for recycling program for the container/packaging.
Never flush wipes, menstrual products, or dental floss - these clog pipes. Keep lotions, cosmetics, fragrances, sunscreen agents, and similar products out of the drain and toilet; the best "somewhere else" to throw these items is your household trash. Medicines, medicated lotions, creams and shampoos go to a Meds Drop-box (here); nail polish and acetone goes to a Household Hazardous Waste facility. Vitamins & supplements go in the organics bin.