When pressing pressed powders, most manufacturers are going for speed over design, so they’re doing everything possible with a single press. In that situation, you need a way to let trapped air escape while pressing, so a fabric ribbon is used, which both embosses a design and allows air to escape, while also keeping the powder contained.
One way to put a design onto your pressed powder is by having some sort of design on the ram that presses the powder. This could be engraved into the ram, or be a rigid plastic cover that fits on the face of the ram. Detail will be lost when pressing with a ribbon, so make the design simple. Silicone will deform too badly under the pressure required.
Another way would be to use 2 rams, one to press evenly most of the way, and the second to press the design into the powder.
A third possibility would be an uniquely woven ribbon.
Using a stamp instead of a ram/mold will very likely fracture the pressed powder cake.
If I were doing this, I’d probably go with an engraved ram, and make sure that the design is symmetrical so that orientation into the compact isn’t critical.