Your inputs are probably not set up correctly.
Go to your Project > Engine > Input Settings of the VR Template project and export them. Then go to your new project and import those settings. This will overwrite any existing inputs you might have set up. You should now be good to go.
On another note, you don’t have to migrate the VR Template files. In your new project, in the Content Browser, click New and choose Feature or Content Pack and then choose the VR Template. it will import into your project.