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Stir all ingredients for the dry rub in a medium mixing bowl to blend and rub the mixture all over the brisket.
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Cover with plastic wrap and refrigerate for at least 2 hours and up to 1 day.
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Once marinated, scrape the rub off of the brisket and reserve the rub.
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Heat the pressure cooker over medium-high heat. Place the brisket, fat side down, in the pressure cooker and cook until brown on both sides, about 5 minutes per side.
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Tuck the celery and carrots under the brisket. Return the rub mixture to the pressure cooker. Pour the broth over the brisket and bring the broth to a simmer.
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Cover the pressure cooker, locking the lid securely into place. Bring up the pressure.
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Decrease the heat to medium-low and cook until the beef is tender, adjusting the heat as necessary to maintain the pressure, about 1½ hours.
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Meanwhile, make the barbecue sauce: Melt the butter in a large heavy saucepan over medium heat.
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Add the onions and celery, and sauté for 5 minutes, or until the vegetables are tender.
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Mix in the beef broth and all the remaining ingredients and bring to a boil over high heat.
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Then reduce the heat to medium-low and simmer, uncovered, stirring occasionally for 1 hour, or until the sauce reduces and thickens slightly.
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Remove the pressure cooker from the heat and release the pressure by carefully lifting the ‘pressure limiting valve’. (NOTE: This will create a large amount of steam, be careful as the steam can burn you.)
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After all pressure has been removed from the cooker, wait for the ‘safety open-preventing’ valve to release before trying to remove the lid. Let the beef rest uncovered in the braising liquid for 10 minutes.
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Preheat broiler/grill.
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Place brisket onto a baking tray lined with aluminum foil and brush 1 cup of the barbecue sauce over the brisket.
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Place under the broiler/grill for 5 to 6 minutes or until the sauce has caramelized over the brisket.
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Remove from the broiler and let rest for 4 minutes at room temp.
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In a medium mixing bowl combine the sour cream with the herbs and mix well, season to taste with salt and pepper and reserve.
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Using a large sharp knife cut the brisket across the grain into thin slices.
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Divide the sliced brisket among the bun bottoms, top with a little of the sour cream mixture and some of the watercress.