There are two different issues here.
First, the resources available to individuals are not based on the registration of the project. So, if a project is registered under a different organization the resources will not change. The resources available to any individual are based on the organization that individual is a member of. It is possible to have someone be a member of a project, but be in a different organization and thus not have access to the same resources as other members of the project.
Second, to change the registration information for a project you should have the project administrator go to registry.paratext.org and make the changes necessary.