Two year olds the world over are notorious for this kind of behavior. And honestly, I think that when we try too hard to "get them to eat," we just make it worse.
Gently, I'd like to say that I think you need to rethink this issue in a very serious way.
What you want is a nice division of responsibility surrounding food: your task is to put a reasonable variety of good food on the table at regular meal and snack times, and to limit access to junky foods. Their task is to come to the table, use reasonable age-appropriate table manners, and eat from the choices available. The amount they eat, and what they choose to eat from what you make available, should be entirely their job. In a system like this, there's no need for excessive anxiety on your part-- they will not starve themselves. They will eat just exactly what their appetite dictates, to grow to their genetically predetermined size.
So I think I'm going to say that you need to relax-- you're trying way too hard. You don't want to turn food into a struggle, especially at this age when struggles are all too frequent anyway. Put your focus into teaching appropriate table manners-- they're old enough at this point to sit up to the table, in a booster chair, and eat what the family eats, and to learn to do things like not throwing food or dumping, communicating when they want something or are finished with something, and drinking from an ordinary cup.
When they drink bottles, are they drinking breastmilk, or some other milk? Because excessive consumption of cow's milk or other milks besides BM can be a problem for kids at this age. Breastmilk is one thing-- it's nutritionally complete for human children. But cow's milk, and other substitute milks like soy, etc., are not, and being full of milk all day can keep a child from being hungry for other foods that provide other necessary nutrients. Kids who drink more than about 16 to 24 oz a day of cow's milk are at risk for iron-deficiency, for example.
So I think that if the bottles are not breastmilk, I'd consider discontinuing them, or limiting them to once or twice a day, and limiting the quantity to no more than a few ounces. That will mean they're taking in fewer calories from milk, which should naturally increase their appetite for foods. If they derive comfort from the bottle, there's nothing wrong with that, but have you tried offering water, or even gradually watering down the milk so that they're getting less and less each day?
You'll also want to limit juice, sugar, and starchy white-flour snacks like crackers and stuff, to very small amounts. Those will also fill kids up without providing much nutrition, and will then cause them to not be hungry for their meals. They need so few calories at this age, and you want the ones they get to pack a nutritional punch. So focus on vegetables, and fruits and meats and fish and poultry and cheese and yogurt and eggs and whole grains and beans and other whole foods like that.
I would also discontinue spoonfeeding, and offering special "kid" foods. At this age, kids can be eating the same meal as the rest of the family, with maybe the rare exception for some special adult treat. They're old enough to feed themselves without any special help other than having foods cut into reasonable size pieces.
If toddlers ate as much as we think they should, they'd be overweight. Their growth slows down a LOT at this age, and it's supposed to. They really do need very few calories at this age to fuel that growth. And a child still nursing is getting quite a few of those calories, plus all the nutrients needed for optimal health, so there's no reason for any special efforts to get the child to eat more than he wants to put in his mouth by himself.
As for limiting breastfeeding-- that's up to you. I see no reason why you have to. Kids will wean all on their own, when they're ready, and if you're comfortable with that, it will happen in its own time. But if you're ready to start setting limits there's absolutely nothing wrong with that either. You can say we only nurse at these times, and stick to it, if you feel like you and they are ready for that step.
I would highly recommend checking out Ellyn Satter, both her website and her books, for a very balanced, sensible approach to feeding children.
