The question is, what have you done after cloning?!
Out of the box, there is no mechanism that automatically setups a replication/data synch between two servers...
How do you enter/insert data into your database?
How do you check those inserted data?
Do you "just" open the SSMS and connect to that given SQL Server, or have you changed everything (network relevant) configuration of SQL Server to establish two separate SQL Server with different IPs and names?
I could imagine that you just connect from both machines to just one SQL Server instance and not to two different ones...