You can consult the local education bureau on this issue, and the systems in many places may be somewhat different. According to my understanding, you only passed these two exams, and you only met a necessary condition for obtaining the teacher qualification certificate, but it is not a sufficient and necessary condition, or you have not obtained the teacher qualification certificate. Generally, there is no such thing as supplementary certificate. You have to retake the pedagogy and psychology that are suitable for high school, and you have to take the Putonghua test and trial lecture to get the qualification certificate of high school teachers.