How common is flipped classroom type teaching?
The question explicitly asked is not that suitable for this forum. There is a answerable question hidden however: How to encourage a specific teaching style in a university? 

Just "giving feedback to the university" will achieve exactly nothing. Universities are huge bureaucratic monsters with immense inertia build in. What you can do depends on your role in the university:

If you are teaching, then lead by example. In the universities I have been at there always was a department aimed at improving the quality of university teaching, and these are your natural allies. Contact them. Maybe they can broker contact with other teachers who want to do this or are already doing this. If you reach a critical mass, beautiful things can happen.

If you are a student then your options are fairly limited.