Content Views Pro supports many membership plugin, MemberPress is one of them.
To show the content for only authenticated users, please use MemberPress shortcode:
[mepr-show if="rule:1234"] [pt_view id="VIEW_ID"] [/mepr-show]
With above code, it will show the View content only if users match the rule ID 1234.
For more detail, please check MemberPress Advanced Rules.
Best regards,