Preheat your oven to 325 F.
Trim any excess fat from your beef shoulder roast if necessary. Cut it into four large pieces or leave it whole if bone-in. Pat it dry with paper towels.
Generously season all sides of the beef with kosher salt and freshly cracked black pepper. Heat neutral oil in a large Dutch oven over medium-high heat until shimmering. Sear each piece of beef in batches for about 4-5 minutes per side until deeply browned.
Whisk together apple cider, chicken broth, dijon mustard, and dehydrated minced onion in a bowl. Tie rosemary and thyme together using kitchen twine.
Once all sides of the beef are browned, pour in your braising liquid. Arrange the herb bundle and garlic head in the pot alongside the beef. Cover tightly with a lid and transfer to the preheated oven.
Braise your beef for about three hours, checking at two and a half hours if boneless. Flip halfway through cooking.
Surround your nearly tender beef with thick slices of red onion and wedges of apple, then cover again. Return to the oven for another 30–45 minutes until fully tender.
Remove from oven and let it rest in its braising liquid for about thirty minutes before serving. Adjust seasoning if needed with salt and pepper before serving.