transfer of funds [grant funding] to the University and the grant recipient from the grant giver as well as financial reporting from the grant recipient to the grant giver

official bilingual DA>EN source:

Ansøgninger om eksterne midler Oprettelse af dit eksterne projekt og ...
econ.medarbejdere.au.dk/.../Grant_recipients_long_version.pdf -

Afrapportering og den løbende opfølgning af dit projekt
Som projekthaver er du altid den ansvarlige for dit projekt, herunder for regnskabet og den faglige afrapportering.
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Din projektøkonom sørger for den løbende hjemskrivning af midler (dvs. at pengene kommer fra projektgiver til AU) og for det årlige regnskab (der kan være andre regnskabsperioder for nogle projekter).
Hjemskrivning og regnskabsafrapportering vil altid ske i henhold til de regler og retningslinjer, projektgiver har.
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Reporting and continuous follow-up on your grant
As a grant recipient you are always responsible for your grant, including the financial statements and the academic reports.
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Your project finance administrator will continuously ensure that the funds are transferred from the grant giver to Aarhus University, and that the annual financial statements are produced (there may be different accounting periods for some grants).
The transfer of funds and financial reporting will always be performed according to the rules and regulations of the grant giver.
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additional source:

Grant Funding Resources for Educational Initiatives | Center for ...
https://cft.vanderbilt.edu/guides-sub-pages/grant-funding/
Introduction. A variety of sources of grant funding are available to support educational initiatives at the college and university level. Below you'll find information on databases of funding opportunities as well as several different funding agencies. Vanderbilt faculty, students, and staff interested in applying for a grant to ...

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Note added at 2 days 1 hr (2017-12-31 00:58:04 GMT)
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above official bilingual DA>EN source explanation for "hjemskrivning" in Danish translated to English:

transfer of funds (i.e., grant funding comes [originates / is transferred] from the grant giver to Aarhus University)