Recognize revenue and receivable after customer acceptance

I have bellow case:

The company is selling to foreign customers/Export sales.

After each shipment the invoice is created.

By using Event based Revenue management functionality(Explicit customer acceptance) we record the revenue to Unearned revenue GL Account and after receiving the customer acceptance  we record the revenue to Revenue GL Account.

Customer also requires to record the receivable to the unbilled receivable GL Account and to record it to the receivable GL Account at revenue recognition time.Is there any way to handle this requirement?

I found that i can do it by using Invoicing and Accounting rules.But in my customer case the time of revenue recognition can not be predifined.