A mixed beverage production appliance has a first container which is configured for receiving a first fluid having a first freezing point and is able to be added to a mixed beverage and a second container which is separate therefrom and which is configured for receiving a second fluid having a second freezing point which is different from the first freezing point and which is able to be added to a mixed beverage. The two containers are connected into a refrigerating circuit of the mixed beverage production appliance which is configured such that the two containers are able to be subjected to different temperatures independently of one another.