A mixing system and method may be used to facilitate mixture of ingredients within a container such as a bottle for baby formula, fitness drinks, medicines, food substances, art materials, and/or the like. The mixing system may include a mixing apparatus with a container engagement component that couples the mixing system to the container, and a mixing component that mixes the ingredients. The mixing component may have a plurality of mixing surfaces arranged to contact the ingredients in a manner that facilitates mixture of the ingredients together, in response to motion of the container. Alternatively, the container engagement component may be omitted. In either case, each of the mixing members may have one or more windows that facilitate mixture of the ingredients passing there through. Two or more mixing members may be connected together via a shaft and may rotate or otherwise move relative to each other on the shaft.