Answer: To replicate Exchange Server 2010 public folder we need to use the Public Folder Management console located In the MMC snap-in.
Step by Step Guide
To replicate the public folder in Exchange Server 2010 follow the steps below:
Open Public Folder Management Console -> Click on the public folder you would like to setup replication.
Right-click on the folder and click on Properties.
Go To the Replication Tab.
In the Replication Tab, click on add and select the server you would like to hold a second copy of the Public folder.
Select the second server Public folder Database.
After selecting the server Click OK.