One of our stores goes through the meat counters and puts the close-dated stuff out on Saturday mornings. If we get there early, which we rarely do, we often find great bargains then. Other stuff gets put out as they find it outdated on the shelves on other days. They just pile it in carts around the store with the reduced prices on the boxes. For example, we picked up five or six boxes of mini Mint Oreos for .99/box on Saturday last week (not a need, I know, and we wouldn't have bought them if money was tight.) We also got four-packs of Greek yogurt for .99, sirloins steaks for $2.29 (regular $5), bologna 16 oz/.50, baby carrots 2 lbs/.70, lean hamburger for about $2.30/lb., BSCB for $2/lb, Triscuits for .99/box, and some other stuff I can't recall now. Frequently that store sells outdated items at far less than half price. They have bunkers set out at different places in the store and three carts of discounted foods at the front of the store right before the checkout. We've learned where to look over the years.
The other store in town often has outdated items at half price, and we take advantage of those, too. Lately we've gotten several containers of couscous half price, hot catsup, bottles of liquid smoke for .50 each, canned cat food at .35 each, chocolate chips for .99/bag, a small bag of Doritos for .50, several kinds of gourmet rice, bottled salad dressings, and things like that. Last Saturday we got seven five-packs of Quaker chocolate chip granola bars for .99/box there. They were expiring the day we got them. The ones still on the shelf were on sale for $2.50/box. They also had 3-pack Cracker Jacks and Cheesey Poofs for .99, but we didn't buy any of those.
Ask the meat staff when/if they put out discounted meats. Ask at the store's bakery about baked goods, too. We are often able to find hamburger buns and other baked goods at .99/package.
If you're trying to cut grocery costs, don't have the mindset that if it's in the grocery store, it must be a need and therefore it's okay to spend whatever. Milk and eggs are needs. Candy, pastries, ice cream, snack crackers, potato chips, and things like that are wants. Minimize the wants and then limit the servings at home. That will help you money-wise and health-wise, too.
Also learn to cook from scratch. Much cheaper and better food, too.