A very similar question was already asked on this site:
https://mathoverflow.net/questions/153302/teaching-homology-via-everyday-examples/153315#153315.
One of the answers mentioned the book
<a href="https://www.math.upenn.edu/~ghrist/notes.html">Robert Ghrist, Elementary applied topology</a> which has a lot of everyday examples of cohomology (and many other everyday examples).