Getting seasoning into a roast

I'm getting into braising a lot of pork and beef roasts. Standard routine: pick cuts with more connective tissue, sear on all sides, then into the oven with seasonings, herbs, veggies, and liquid (I use broth; can't use wine or beer, or add a bunch of fat or carbs, for dietary reasons), and cook for several hours at about 325F.

I'm getting good results texture-wise, but the inside of meat is always bland. What techniques can I use to season the inside of the meat? It seems like if I could just get some salt in there it would help. With the pork, maybe brining is the way to go? Not sure if you can even brine a beef roast, though.