BAföG payments (grants and loans) for studies in Germany cannot simply be taken abroad. You need to make a special application for support to time spent abroad (study course or work experience).
Applying for BAföG for abroad
Different BAföG offices all over Germany are responsible for providing BAföG for abroad, depending on which country you are heading to as a student or pupil.
You must make your application for educational support for abroad directly with the BAföG office responsible for your destination country. You can find more information on which office is responsible for which country at www.studentenwerke.de.
BAföG office Reutlingen
Support for studying abroad