Many gods were essentially defined by their totems; Hermes his sandles, Ero's bow, Aesculapius's staff... Dionysus's totem was 'a pinecone on a stick'. Not a magical staff of power... a literal pinecone on a stick.
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They are rustic-looking decorative brooms soaked in synthetic cinnamon oil. The scent hits you in the face like a seasonally appropriate wrecking ball.