From your screen shot, the "red checks" that I see are part of the icon that represents a "quiz." I also have these icons on my moodle, which I believe is part of the MORE theme that I am using (see my graphic.) So I am really not sure what you are asking. Do you want a different icon, for example? Or might it be that you have a different theme that either does or does not show these icons?
General help
Red check marks in front of my quizzes
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