DFSR Not Replicating *.BAK Files

I've had DFSR (DFS replication) setup for a while, but noticed that my SQL Server backups (*.BAK) files where not being replicated.  After digging into it, I found that by default, DFSR sets a file filter that excludes from replication all files that have names starting with ~ or have the extension *.tmp or *.bak.

I changed the file filter by using DFS Management Console.  Here's how:
- Go to ReplicationGroup.
- Click on the replication group.
- Go to Replicated Folder tab.
- Click on the replicated folder and there is a property page that will pop up. It will have file filter which you can change.