Hello,

In order to become a government teacher it's mandatory that you complete a teacher's training program, it can be DEd, DElEd, or any other which is recognized by NCTE, but since you have completed graduation you can consider pursuing BEd for which the eligibility criteria is passed graduation or post-graduation in any disicpline  from a recognized university with 50% or above aggregate depending upon the norms of the university, admission process may be merit based or done through entrance test such as by DU, BHU, RIEs are best options regarding this, as you will hold good chance to become TGT, and if in future you pursue master's degree also you can become PGT, you can appear for CTET regarding this or state level Teachers Eligibility Test,