By Mistake Deleted AlwaysOn Availability Database from live Production Server
It is not possible to delete a database that currently resides in an availability group. It is also not possible to restore over top of it while it remains in the availability group. Thus, this database was not in an availability group to begin with.

What you are describing is not possible as you will get an error if the database is involved in Always On. You'll receive the following error:


  Msg 3752, Level 16, State 1, Line 1 The database '&lt;Database name>' is
  currently joined to an availability group. Before you can drop the
  database, you need to remove it from the availability group. You have
  to SET HADR OFF before issuing a drop database.