The "rubric graded essay" question type extends the essay question type simply adding the possibility for the teacher to choose one of it's rubrics and link it to the question.
Once linked, a rgessay question type will allow the teacher to grade student using choosed rubric. The rubric can be showed to the student during attempt, and it's filling can also be showed when reviewing the attempt afterwards.
The "rubric graded essay" question type depends on the "rubric graded question behaviour". First install Question behaviour > Rubric Graded.
The simplest way to install the "rubric graded essay" question type plugin is going to the Site administration -> Plugins -> Install plugins page.
Support for Moodle 3.0+
Not tested with Moodle 2.0+