This research paper delves into the integration of the Internet of Things (IoT) with Unmanned Aerial Vehicles (UAVs). It explores the potential of UAVs to provide reliable uplink communication for IoT devices while minimizing energy consumption. The paper proposes a novel approach for optimizing UAV deployment and trajectory planning to enhance the overall data transmission quality of IoT networks. By leveraging principles from optimal transport theory, the research aims to ensure efficient and energy-conscious data exchange in time-varying mobile IoT environments. The study addresses critical challenges related to data security, privacy, and UAV awareness, highlighting the significance of UAVs in revolutionizing IoT applications.