I am having a problem with my wpgoogle search bar recording the search phrases to my google CSE account that is typed in and searched on in my site. I crossed checked the Search Engine ID and it all looks correct but no info is recorded to my account.
What kind of search phrases do you record to your CSE account?
In CSE account you should record the URL of your site and some settings. Search phrases is given by the user of your site in the Google CSE search field.
What kind of info would you like to be recorded to your CSE account? In the Google CSE admin page you can make settings, but should not be recorded info automatically in Google CSE.
I do not know what is the exact algorithm of Google CSE admin function when record frequent searches. I could not find real explanation about it on the net. Maybe ask Google about it.
I tried to click on “Learn More” link beside “No queries were sufficiently popular to be listed.” on the page you attached, and find the following explanation there:
“Popular Queries list empty
The most likely explanation is that no query was frequent enough to make it ‘popular.'”
It is a question what means “frequent enough” for Google?
I suppose you had only some query attempts, and it is less than that Google consider as popular query, so it is not displayed in the statistics.
Maybe Google Analytics give you more information about your site if your search field is not used frequently.