The rising popularity of mobile apps deployed on battery-constrained devices has motivated the need for effective and efficient energy-aware testing techniques. However, currently there is a lack of test generation tools for exercising the energy properties of apps. Automated test generation is not useful without tools that help developers to measure the quality of the tests. Additionally, the collection of tests generated for energy testing could be quite large, as it may involve a test suite that covers all the energy-greedy parts of the code under different use-cases. Thereby, there is a need for techniques to manage the size of test suite, while maintaining its effectiveness in revealing energy defects. This research proposes a four-pronged approach to advance energy testing for mobile applications, including techniques for energy-aware test input generation, energy-aware test oracle construction, energy-aware test-suite adequacy assessment, and energy-aware test-suite minimization.