Termination is of two type. Removal from service and dismissal from service. If someone was removed from service, he can apply for any government job including css exams, there is no issue. But if someone was dismissed from service then he cannot apply for any government job or exam. Type of termination is written in the order issued by the authority whether it is removal from service or dismissal. If it is removal, feel free to apply for any government job there is no issue.