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AOS is working quite OK. But from the original post I did not understand whether you actually performed the service or want to register some previous service into HU?

The button "write service" on initial screen just copies history from BMW servers to the car as it is there. What you should do depends on the answer to the question.

1. If you just performed the service I found its best to go to service functions Maintenance and predelivery check and from there execute write service history with CBS reset.
2. If service was performed before (or 1 is not working for some reason) then you must enter service data manually in the AOS Service history tool by clicking Order base/inspection, then Service data and then filling values manually. After that you can go to ISTA and click write service history and it will be transferred to the car.

Currently AOS does not know about any service later than 40xxx km on that car.