Who still loses weight by eating back the calories they burned off from exercise?

It's the way the tool is designed. Exercise is unaccounted for activity in your activity level...common sense would dictate that it should be accounted for somewhere. Lean, healthy, and fit people eat and train...they don't crash their diets and then do a bunch of exercise on top of it.

ETA: yesterday I did a 30 mile date ride with my wife....I burned over 1,000 calories...If I ate what MFP gives me for 1 Lb per week before exercise I would have been left with around 800 calories for my body to work with...I burn around 1700-1800 calories merely existing, so obviously providing my body around 800 calories would not be a very healthy proposition...

I'd also suggest taking a step back and realizing that regular exercise has numerous health benefits...increased energy expenditure is just one of them. The purpose of regular exercise goes well beyond just burning some calories...ergo, it wouldn't be pointless.

I usually eat back half my exercise calories. Dropped just shy of 61 lbs to date (after about 7 months).

I eat back exercise calories as given by my fitbit. I've done the math and they're pretty accurate. If I didn't eat them back, I would be too tired to function. For example, I ran 8 miles this morning, burning about 1,000 calories according to my fitbit. With a net goal of 1,200 calories, if I didn't eat them back, I would be netting about 200 calories in a day, which isn't healthy at all.

I estimated my exercise calories carefully, ate pretty much all of therm back, and lost 60+ pounds in less than a year.

How fast are you losing weight without eating the exercise calories? Obviously, you'll lose a little more slowly if you eat back some or all of your exercise.

If you're losing more than 1% of your body weight weekly (even less than that if you're closer than 25 pounds or so to goal), definitely eat more - you're losing at a rate that may be unhealthy.

If you're losing more slowly than that, just do the arithmetic to estimate your new loss rate. Let's pretend you're losing on average a pound a week, and doing 250 calories of exercise daily but not eating those calories. Your average daily deficit is about 500 calories (roughly 3500 calories in a pound, divided by 7 days in a week, equals 500 calories per day).

In that scenario, eating back the 250 daily exercise calories will reduce your daily deficit to 250 (500 calorie deficit minus the 250 calories of increased eating that makes the deficit smaller). At a 250 calorie daily deficit, you'd expect to lose about half a pound a week.

If eating more when you're hungry after exercise makes it easier to stick to eating in a deficit - i e., if it helps you stuck to weight loss longer without falling off the wagon - then in practice you may actually lose just as much while eating some exercise, because slipping off track has as calorie "cost" and hinders weight loss, too. Losing slowly but more steadily gets you to the same place.

One further thought: You say "I want to start eating back the calories i burn off, but i feel like then my workout goes to waste". Workouts never go to waste. They make you more fit. They improve your mood. They can help other aspects of your health, such as blood pressure or blood sugar. Even some cardio can help with preserving existing muscle as you lose fat, even if it's not quite as good for that as weight training is. They help build the habit of being active, which will help you keep weight off more easily once you reach goal weight.