Make the dumplings: In a small mixing bowl, whisk together the flour and salt. Using a pastry blender or your fingers, cut the butter into the flour until it looks like pieces of very coarse meal. Add the egg and stir until a sticky dough forms. Cover the bowl and pop into the fridge while you make the soup.
Make the soup: Place a large soup pot over medium-high heat and melt the butter/olive oil. Add the onion and paprika, and cook, stirring frequently for around 5 or 6 minutes or the onion is beginning to soften. Add the broth and veggies and bring to a boil. Reduce the heat to medium/low, and cook until vegetables are tender, about 15 minutes. Make sure you stir every so often to make sure nothing is sticking to the bottom of the pot.
Use a regular teaspoon to scoop and drop the dumplings into the soup. It’s sticky dough so you may need to push it off and into the pot with a second spoon. The dumplings are not huge, and they float on the top of the soup and cook fairly quickly. It usually takes about 3-5 minutes for each one to cook. When the soup is ready, serve and enjoy!