HI Vijay, how are you?
So, I'm not sure if i understood your question but let me see if i can help you.
When you did the accounting posts for your AuC using the current cost center set in the master data of this AuC (Time-Dependent - AS03 transaction) the historical of line itens already was stored in the ANEP table and also the total balance goes to ANLC table , because this, the pasts values wouldn't go migrate for the new cost center.
But is posible you change a cost center for a AuC. You can go in the transaction AS02 - Modify Fixed Asset -> Time-Dependent -> Button More Intervals -> ButtonAdd a Interval.
I hope that the comments above can help you.
Best Regards,
Cassio B. Goulart