Transferring picking status from EWM to ERP

Good day.

We need in outbound deliveries transfer from EWM to ERP Picking statuses (for whole delivery) when Picking started for delivery(status became from Not started to Partially completed) and when Picking is over (status became from Partially completed to Finished). It seems in ERP this statuses exists in table VBUK-KOSTK. Now in ERP this column is empty

So, the main question how can we customize this proccess? Some how via PPF or we need to create FM with RFC function on ERP side?

I will be very grateful for the information provided on this issue

Kindly asking you to help me in this issue.

Thanks in advance, Dmitriy.