Add the veggies to the pot of your slow cooker
Season the meat cubes with salt and pepper
Heat the oil in a large skillet over medium-high heat, and brown the meat cubes
Add the beef to the slow cooker and deglaze the pan with one and a half cups of beef broth. Be sure to scrape the bottom of the skillet to get all the brown bits that stick to it. This is where most of the flavor is.
Mix the flour, paprika, minced garlic, tomato paste, sugar, 1 teaspoon salt, and ¼ teaspoon of pepper in a small bowl to form a paste.
Using a whisk, combine this paste with the beef broth in the pan. Cook for a couple of minutes until the broth thickens.
Add the thickened broth to the slow cooker and mix with the rest of the ingredients. Pour in the remaining ½ cup of beef broth and cook on low for 7 hours.
A few minutes before the goulash is done cooking, prepare the egg noodles according to package directions.
Serve the hot goulash over the egg noodles.