Hi. There are several paper-pencil observational tools for evaluating classroom management effectiveness (usually relating teachers’ verbal behavior and pupils’ percentages of time spent being on-task). They were used in Asia too, but they are very versatile you can use them wherever - without need for translation. The instruction are easy and you can train observers even online. I utilised one to compare teachers in Italy, UK and now Iceland too. Can this be of any help? If you need more references on the tools, please, let me know. As regard proper questionnaire, I’ve never heard of one. Classroom observation, surveys of teachers and students, and qualitative methods such as interviews have been most frequently employed, as far as I know. Academic gains of students are also used as an indirect measure of teacher effectiveness...even if we know that students’ gains doesn’t depend completely on that. I hope it can be of any help...
Sun, X., Mainhard, T., & Wubbels, T. (2018). Development and evaluation of a Chinese version of the Questionnaire on Teacher Interaction (QTI). Learning Environments Research, 21(1), 1-17.
The QTI is a questionnaire which measures teacher-student relationships (TSRs) from an interpersonal perspective by mapping students' perceptions of their teacher's behavior. It has many language versions. This measurement is not directly about teacher effectiveness, but TSRs and teacher behavior are linked to effective teaching. You can also find quite some literature about cross-cultural studies on TSRs. Hope this may help.