Combine the paprika, garlic powder, onion powder, salt and pepper in a small bowl. Rub the seasonings over all sides of the pork shoulder.
1 teaspoon sweet paprika, 1 teaspoon garlic powder, 1 teaspoon onion powder, 1 teaspoon salt, ½ teaspoon black pepper, 3 pound boneless pork shoulder roast
Heat the olive oil in a large pan on the stove over medium-high heat. When the pan is hot, add the pork and sear on all sides until browned, about 3-4 minutes per side. Transfer roast to the slow cooker.
1 tablespoon olive oil
Reduce the heat under the pan to medium. Add the onion to the pan and cook, stirring, for 3 minutes. Add the garlic and flour to the pan and cook, stirring, for 30 seconds.
1 large yellow onion, 4 cloves garlic, 3 tablespoons all-purpose flour
Pour in the chicken broth to deglaze the pan, stirring and scraping up any browned bits, about 2 minutes. Remove from the heat.
1 ½ cups low sodium chicken broth
Add the carrots and potatoes around the meat in the slow cooker. Pour the contents of the pan into the slow cooker, using a spatula to scrape it all into the crockpot.
6 medium carrots, 1 ½ pounds whole baby potatoes
Cover and cook on low for 7-9 hours, until the meat shreds easily with a fork and the vegetables are tender.
Remove the pork to a clean bowl and shred the meat with two forks, discarding extra fat. Season to taste with more salt and pepper, if needed, then serve with the potatoes, carrots and a drizzle of the juices from the slow cooker.