Ian Dunn

The <a href="https://wordpress.org/plugins/google-authenticator/" rel="ugc">Google Authenticator</a> plugin is a great way to add two-factor authentication to your site, but it does have one major drawback: it asks every user for the authentication token, regardless of whether they have 2FA enabled or not. This can be confusing for users, which prevents some administrators from using the plugin on multi-user sites.
This plugin modifies the way that Google Authenticator behaves so that only users who have it enabled are prompted for the token. If a user doesn’t have it enabled, then they’ll proceed directly to the Administration Panels; if they do have it enabled then they’ll be prompted to enter their 2FA code.

Per User Prompt for Google Authenticator

It is a superb idea to have these kinds of plugins for free without any annoying ads.

Works great!

Modifies the Google Authenticator plugin so that only users with 2FA enabled are prompted for the authentication token.

The <a href="https://wordpress.org/plugins/google-authenticator/" rel="ugc">Google Authenticator</a> plugin is a great way to add two-factor authentication to your site, but in order for it to work, users have to activate it for their account themselves. They may not know that it’s available, or may not be motivated to enable it.
This plugin helps administrators to encourage users to activate it, and has three different methods for doing that, depending on how strict you want to be:
<ul>
<li>Gently Nag the user: A warning message will appear at the top of the Dashboard and Profile screens, asking them to enable two-factor authentication. The message goes away when they enable it. This is the default behavior.</li>
<li>Persistently Nag the user: The warning will appear at the top of all screens until they enable two-factor auth.</li>
<li>Force the user: The warning will appear on all screens, and the user will also be prevented from doing anything inside wp-admin until they activate two-factor auth. They’re temporarily assigned the role of a Subscriber, and redirected to their profile whenever they try to access another screen. Once they enable two-factor auth, their original role is restored and they can access other screens again. 
Keep in mind that the Google Authenticator plugin doesn’t require users to enter a valid 2FA code from their phone during the activation process, so some users may not set it up correctly and lock themselves out of their account. This is unfortunate and may result in more support requests, but it’s a small price to pay for increased security.</li>
</ul>

Encourage User Activation for Google Authenticator

Allows administrators to either nag users to enable two-factor authentication, or force them to enable it.

Per User Prompt for Google Authenticator vs Encourage User Activation for Google Authenticator