Fill a large pot with water and bring it to a boil. Add your pork and beef bones, then boil them for 10 minutes. While boiling, remove any grayish foam that floats to the top. Drain the bones and rinse them well under running water. Clean your pot before continuing.
Put the cleaned bones back in the pot and add fresh cold water until the bones are covered. Bring to a boil again, then lower the heat so the liquid just gently bubbles. Cover and let it cook slowly for 2 hours. Occasionally skim off any foam that forms on top.
Pour the broth through a strainer. Pick off any meat stuck to the bones and save it. Using a small spoon, scoop out the white marrow from inside the beef bones and set aside. You can throw away the cleaned bones now.
Pour the strained broth back into the pot and bring it to a boil. Add the pork shoulder and intestines. Cook for about 30-40 minutes until they're tender. Take them out, let them cool a bit, then slice them into thin strips.
Add the liver to the broth and cook for 7-10 minutes. Take it out, let it cool slightly, then slice it thinly.
Add your chopped onions and garlic to the hot broth. Cook for 2-3 minutes until soft. Stir in the sautéed shrimp paste until it's mixed well into the broth. Add sugar, then season with salt and pepper until it tastes good to you.
In a separate pot, boil water for the noodles. Cook the fresh miki noodles for just 30-40 seconds. Drain them well and divide them between your serving bowls.
Pour the hot broth over the noodles. Add the sliced pork, intestines, liver, and saved meat from the bones. Put some bone marrow in each bowl if you like.
Top each bowl with crushed chicharon, fried garlic bits, and chopped green onions. If you want, crack a raw egg into each bowl. Serve right away while it's very hot.
Always serve extra hot broth on the side for refills, and keep your toppings nearby so everyone can add more as they eat. Remember, La Paz Batchoy is best enjoyed steaming hot - this helps all the flavors come together and lets the egg gently cook in the hot broth.