Failed to use the extension due to my container settings at first but finally managed to solve the issue.
I guess this is common issue for all container extension users so giving the feedback.

If you are experiencing problems like "The extension requires you to login every time you want to clip however it does not show up the clip menu anyway but just successfully logged in page"

Try to add www.evernote.com and evernote.com (optional) to the "Ignoring requests to" list of the "Temporary Containers" extension.

Simply flow the steps; Settings -> Extensions & Themes -> Temporary Containers -> Preferences -> Advanced -> Ignoring request to -> add "www.evernote.com" domain and click to ignore