If an application that was deployed via group policy (GPO) is uninstalled using Add/Remove programs (appwiz.cpl), it will not be automatically reinstalled via GPO Group Policy processing on the next restart.

When an application is installed via GPO Group Policy on a client computer, a subkey is created at the following registry key:
HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Windows\CurrentVersion\Group Policy\AppMgmt

In order to force the reinstallation of software that was previously deployed via Group Policy, locate the subkey that contains values describing the software that you’d like to have reinstalled and delete it.

After removing the key from the registry of the client computer, run the command “gpupdate /force” from a run prompt or command line and then restart the computer.