Work on these steps.
- Dismantle the Equipment from Functional Location
- Maintain the Cost center in Functional Location
- Do the Installation again with Installation with Data transfer again
- Check the Cost Center data in Equipment & Functional Location
- Do the dismantling again from that FL with data transfer
- Check the Cost Center in Equipment (Now cost center should be cleared)
- Install again to new FL which is having different cost center (Install with data transfer)
- Check the Equipment Cost Center
If all these steps run as per your requirement, continue to follow these ways. Else update here, where exactly you get stuck up. So, we can give some clue on that.