Smart societies have an increasing demand for quality-oriented services and infrastructure in an Industrial Internet of Things (IIoT) paradigm. Smart urbanization faces numerous challenges. Among them, secured energy Demand Side Management (DSM) is of particular concern. The IIoT renders the industrial systems to malware, cyber attacks, and other security risks. The IIoT with the amalgamation of Big Data analytics can provide efficient solutions to such challenges. This paper proposes a secured and trusted multi-layered DSM engine for a smart social society using IIoT-based Big Data analytics. The proposed engine uses a centralized approach to achieve optimum DSM over a Home Area Network (HAN). To enhance the security of this engine, a payload-based authentication scheme is utilized that relies on a lightweight handshake mechanism. Our proposed method utilizes the lightweight features of Constrained Application Protocol (CoAP) to facilitate the clients in monitoring various resources residing over the server in an energy-efficient manner. In addition, data streams are processed using Big Data analytics with MapReduce parallel processing. The proposed authentication approach is evaluated using NetDuino Plus 2 boards that yield a lower connection overhead, memory consumption, response time and a robust defense against various malicious attacks. On the other hand, our data processing approach is tested on reliable datasets using Apache Hadoop with Apache Spark to verify the proposed DMS engine. The test results reveal that the proposed architecture offers valuable insights into the smart social societies in the context of IIoT