You get materials after completing Zombies, Run! story missions, including all of Seasons 1 to 9. You get:
- 3 materials for your first play of a mission
- 2 materials for the second play
- 1 material for the third play
You won't get materials for any plays of that mission beyond that, but you'll continue to collect supplies.
Materials aren't given for any other mission type, including New Adventures or the Season 1 race missions as these take place outside of the main storyline.