The renewing powder is cornstarch, and that is not a complaint
It is the right answer, and the reason it is not talc matters.
A dried elastomer surface turns slightly tacky as the oil in it migrates outward. A dusting of fine starch takes up what comes to the surface and leaves the sleeve dry and soft to the touch. Cornstarch does that, costs almost nothing, and is the same thing sold in a branded shaker at several times the price.
What it is not is talc, and that is deliberate. Talc has been mined alongside asbestos, the litigation over it has been enormous, and nobody selling a product for genital use wants to be anywhere near that question. Any powder used here should say cornstarch on it.
What to do with it
A branded shaker is convenient and plain cornstarch from a supermarket does the same job for a fraction of the price. Either way, the rule is a thin dusting on a sleeve that is already bone dry.
Do it after every few uses, not after every one, and if the surface has gone tacky despite powder, the material is at the end of its life rather than in need of more.
The same rules apply to everything else in the drawer: see cleaning and storage.