Looks like you've added your PSN account and it is tracking properly. The verification options don't affect tracking, that's mainly just for signing into the site. Sony doesn't offer a PSN sign in option for third party sites like Xbox and Steam do.
Although from what I can see, on your main profile page, you've got the default sort order set to Hours Played. PSN doesn't provide hours played information so you will need to change that to Last Played or something else, otherwise the PSN games will show at the bottom of your list.