How an Electrical / Mechanical Engineer Claims for Engineering Management Experience which may involve other Field of Expertise e.g Civil Engineering?

Engineering management is independent of technology. Engineering management is basically optimization of available resources for a given task, understanding of task requirement, allocating and acquirement of required resources, creating schedules and milestones and monitoring the project against it. Rescheduling and reallocation of resources as and when required for any delays always have contingency plans for any foreseeable event.