I am not great, could be better. My biggest food saving is reducing the amount we go out to eat. In the past year or so I've gotten better about freezing leftovers etc. When you're making your grocery shopping list, try to shop your pantry / freezer first - meal plan recipes using ingredients you already have there if you can. I do make somewhat cheaper things like using ground meats and breakfast for dinner regularly. I am not sure this is saving money [yet], but my new year's resolution is to do one meatless day a week.
This was a good blog post:
Worried About Grocery Spending? Stop Trying to Be Creative, Just Be Consistent
https://www.ynab.com/blog/grocery-spending