I went through other posts from ukganesh for this issue and found this link, https://discussion.evernote.com/topic/82882-evernote-widget-not-available/?hl=%2Bevernote+%2Bwidget. I powered off my phone and back on and then the widgets appeared in the list. I would think this is not expected behavior after installing a widget.
I have the same issue on my Galaxy S5 running 4.4.2. I installed the Evernote Widget and it shows up in the app drawer but it is not available when I tried to add a widget to a home screen. The only Evernote item that shows up is the Evernote Shortcut widget, which just launches the app at the point where the shortcut is configured to load, i.e, All Notes.