I'm working with motivation specifically, but I found the following works that can help you.
This report lists 21 instruments for measuring engagement: https://ies.ed.gov/ncee/edlabs/regions/southeast/pdf/REL_2011098.pdf
And this does a Comparative Analysis of Various Methods and Student Self-report Instruments: https://www.lcsc.org/cms/lib/MN01001004/Centricity/Domain/108/The%20Measurement%20of%20Student%20Engagement-%20A%20Comparative%20Analysis%20of%20Various%20Methods.pdf
Maybe you should take a look at the Flanders System of Interaction Analysis (FIA) based on his book "Interaction Analysis in the Classroom: A Manual for Observers".The book is pretty old but the method is still used.
Martin's Motivation and Engagement Scale (2008) is a self-report questionnaire that you may find useful. It is listed as one of the resources available in the document linked by Prof. Voss.
Just an observation. I'm not exactly a Professor (Full, Distinguished Professor or equivalent in North American system), here in Brazil I'm the equivalent to Assistant Professor or Lecturer. I'm just at an early career stage.
We are working on the development of computer systems to monitoring classrooms, with the goal to contribute to the transformation of the classroom as a sensing environment, providing information to both teachers and students regarding their performance during the class.