A set consisting of a cosmetic product replacement unit and a plurality of base stick modules which have feed devices, which differ from one another in their mechanical operating principles, for the cosmetic product,
- said cosmetic replacement unit comprising:
- a replacement housing in which the cosmetic product is present in the form of a refill,
- a cap attached onto the replacement housing, for sealing a refill extension opening, configured in the replacement housing, for the refill,
- wherein the refill is in push connection with a piston guided in the replacement housing, and
- a connecting component connected to the piston, for cooperating with a complementary push rod connecting component of a piston push rod as part of a feed device of the base stick module for extending the refill, the piston connecting component being designed to bring the piston push rod into a push connection with the piston and to position the piston push rod on the side of the piston remote from the refill.