Dooku is wearing his cape during his conversation with Sidious, but when Ventress enters the room immediately afterwards, the cloak has disappeared.
When Ahsoka arrives, she is seen carrying Luminara's lightsaber, cuts Luminara free with it and then hands it back to her. All the while, her own lightsaber is not clipped to her belt, nor seen anywhere. However, when Ventress attacks them both, suddenly Ahsoka has her lightsaber.