The macroscopic properties of materials highly depend on the material microstructure. This contribution discusses a recent finite element based simulation method for two-scale models. The latter resolve both, the microstructure of a material and the component made of that material. In this way, the impact of the microstructural features on the macroscopic behavior on the component level is represented in the model in a direct and highly accurate manner. One of the most challenging tasks in this context is the development of highly efficient methods for the microscale part, since a two-scale simulation typically involves thousands up to millions of microscopic simulations. For this purpose, a model order reduction method which combines finite elements with more traditional two-scale approaches is presented, which allows to carry out two-scale simulations in reasonable computational times.