When comparing Evince vs Adobe Reader, the Slant community recommends Evince for most people. In the question“What are the best PDF readers?” Evince is ranked 2nd while Adobe Reader is ranked 7th.
Ranked in these QuestionsQuestion Ranking
Pro Free and open source software
Pro Can annotate a pdf
It isn't immediately obvious how to do this, but the instructions are here.
As of 13 June 2018, the icons/screenshots on that page look different than what can be seen under Evince v3.18.2, but the devs have been alerted to this discrepancy, and there are requests they make the finding/using of annotations more intuitive than they are now.
Pro Can find a word in a pdf
Pro Supports touchpad gestures
Pro Good integration with Gnome desktop
Pro Supports touch interaction
Supports touch, including drag and pinch to zoom.
Pro Can play embedded video
To my knowlegde, the only PDF reader on Linux that can play embeded video (unfortunately not in presentation mode, which is a major drawdack).
Pro Search results list
Click/tap the magnifying class in the top bar.
Pro Integrated cloud service
Gives access to a cloud service that allows storage and sharing of PDF files.
Pro Allows comparing two separate PDF files for differences
Reader can compare two versions of a PDF file and highlight differences.
Pro Best in class compatibility with the PDF standard
Since Adobe is the creator of the PDF standard, it stands to reason that Adobe's Acrobat Reader has the best support for it.
Con Scrolling is not smooth
Con Window can't be resized
You can only read in a small box or fullscreen, no way to manually size window.
Con Tied to GNOME
Comes with all those weird things like popovers and clientside windows.
Con Keyboard shortcuts cannot be rebound
Con Thumbs not working
Scroll once, and all thumbs in the side panel are gone.
Con Poor UI
Since version 3 it is almost unusable.
Con Unicode Problems
Some languages other than English do not render correctly
Con Adding annotations isn't as intuitive as it should be
Instructions can be found here. Specifically, a user should be able to select a word or block of text, then right-click and see highlight/add note options in the drop-down menu. Currently, this option isn't available (as of Evince v3.18.2 / 13th June 2018).