Soak beans overnight or use the quick soak method according to package directions. Set aside.
Add olive oil to a 6 quart or larger Dutch oven set over medium heat.
Season pork ribs with salt and black pepper, to taste, and add to Dutch oven.
Sear on both sides, approximately 6-7 minutes per side or until the meat easily releases from the bottom. Transfer ribs to a plate and set aside.
Add the remaining olive oil, celery, carrot, onion, and garlic to the Dutch oven. Season with salt and black pepper, to taste, and stir to combine. Cook, stirring occasionally, until the vegetables soften and begin to develop some color, approximately 4-5 minutes.
Return ribs to Dutch oven and add soaked and drained beans, chicken broth (or water), bay leaves, and dried herbs. Season with additional salt and black pepper, as desired, and stir to combine.
Increase heat to medium-high and bring to a rapid boil, then immediately reduce heat to just below medium for one hour and 15 minutes or until pork falls easily off the bones and the beans are tender, but not mushy.
Remove from heat and remove the bones from the Dutch oven. Pull the pork apart with two forks to create bite-sized pieces. Taste and adjust seasonings, as desired.
Stir in fresh chopped basil and serve immediately. Enjoy!