Energy systems in manufacturing companies are changing due to two technological developments. On the one hand, energy is generated decentrally using technologies such as solar cells. On the other hand, the storage of electrical energy is enabled by technologies such as Lithium-Ion-Batteries. Since from now on companies will be faced with time-dependent energy prices as well as the opportunity to sell energy in the course of a more sustainable power generation, not only the quantity, but also the value of bought energy is influenced by both technologies. Especially energy storages have a potential to cope with intra-day price volatility. In order to evaluate the short-term potentials of energy storages, planning approaches for production scheduling have to consider energy quantities, time-dependent energy prices, and characteristics of energy storages. Nowadays, time-dependent energy prices are only considered by a few approaches, especially in the Energy-Oriented General Lot-Sizing and Scheduling Problem (EOGLSP). The consideration of energy storage potentials is missing. In this contribution, the EOGLSP is extended by energy management decisions with respect to energy storages. Moreover, the cost and energy saving potential of energy storages in Lot-Sizing and Scheduling is analysed based on a numerical case study. The numerical study reveals that the integrated approach is always able to reduce total costs compared to a common Lot-Sizing and Scheduling approach as well as Lot-Sizing and Scheduling followed by optimal decentral energy management decisions. Besides, the case study points out total cost saving potentials of more than 20%, if large energy storages are installed.