Here’s how you can figure it out:

You started with 6 eggs.
You broke 2 eggs.
You fried 2 eggs (these could be the same eggs you broke or different ones).
You ate 2 eggs (these could be the same eggs you fried or different ones).
Let’s break it down:

You broke 2 eggs. Now you have 4 eggs left.
You fried 2 eggs. If you fried the eggs you broke, you still have the 4 eggs remaining (but 2 are now cooked). If you fried different eggs, you still have 4 eggs, but 2 are cooked.
You ate 2 eggs. If you ate the ones you fried, you’re left with 2 eggs (if the fried eggs were different from the eaten ones). If you ate the fried eggs, you have 4 eggs left (2 cooked, 2 not cooked).
In summary:

If you fried and ate the same eggs, you have 2 eggs left.
If you fried and ate different eggs, you still have 4 eggs left.
The exact number depends on whether the eggs you fried were the ones you ate.