The design consists of the features of shape, configuration, pattern and ornamentation of the entire Packaging for beauty product as shown in the drawings.Fig. 1 is a front elevational view of a Packaging for beauty product showing my new design;Fig. 2 is a rear elevational view thereof;Fig. 3 is a left side view thereof;Fig. 4 is a right side view thereof;Fig. 5 is a top plan view thereof; Fig. 6 is a bottom plan view thereof;Fig. 7 is a perspective view thereof;Fig. 8 is another perspective view thereof.