In this research, the process of reengineering was carried out to correct faults and apply improvements to the Follow-up System of Demands (SiSeDe) implanted in the Administrative Court of the State of Colima, Mexico. It is an information system with web features that facilitates the follow-up of sentencing projects, focusing on a module of productivity indicators to improve the time of attention to administrative trials. To control the software engineering process, the Agile Unified Process was used, due to its characteristics to handle small, changing and risky projects. The results reside in a software that presents the time of attention to the demand with statistical elements, considering metrics of evaluation of processes by time in addition to those established by the Administrative Law of the State of Colima, Mexico. The actors responsible for administering administrative justice, with the support of signals like traffic lights, can visualize in the system the productivity of the actors that intervene in the demand, identifying how many demands they have attended and how many are in prevention or in lag of attendance. These data allow the administrative personal to incorporate strategies to improve the attention of the justice processes.