I was using Delphi AfterPost Event in my Delphi applications,

AfterPost event is fired after the data on the dataset is updated but before reflected to the database. If this is converted to the Business Object terminology when the business object is updated but before the update is reflected to the database. Is there an equivalent event in StrataFrame Business Objects?

If not, could you please suggest a method to handle it manually?

You could use the ListView event just to call a Method on your Business Object. This way, your logic would reside in the BO.