The main purpose of this paper is to present the made improvements to an innovative tool called Assessment Manager. These improvements are related with the implementation of analytic rubrics to help the instructors in the design of the assessment from the collaborative learning process completed by the students into Learning Management System courses. The assessment tool is part of a Teaching Assistant Service embedded into the Learning Management System Moodle. This assistant together with the assessment tool are being used and tested in several courses to support Computer Science Engineering Education. The tests are being performed as innovative educational practices with instructors and students members from the Faculty of Computer Science Engineering at the Universidad Pontificia Bolivariana-UPB Montería and members from the School of Computer Science Engineering at the Universidad del Valle-UNIVALLE Santiago de Cali (Colombia).