That isn't really possible or feasible... EdgeGamers uses standard TOTP authentication for 2FA, meaning anyone could be using any app for it, not just Google Authenticator. Displaying a logo for Google Authenticator could be helpful for some (who are actually using it), but completely counter-productive for others. We have no way of knowing what app someone may be using due to the nature of this type of 2FA.
Assuming you don't have any proprietary 2FA algorithms in use (which isn't particularly common, though Microsoft and certain rolling keys that workplaces use come to mind as examples), you can likely unify your authenticator apps as well.