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1
Preheat the oven to 350 F.
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2
Pour the oil into a wide, deep-sided saute pan and heat it over medium-high heat.
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3
Season the short ribs with salt and pepper, add them to the pan, and brown them all over, about 4 minutes per side.
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4
Transfer the ribs to a large casserole or roasting pan.
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5
Add the onion, carrots, and celery to the saute pan and cook for 5 minutes to lightly caramelize them.
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6
Add the jalapeno, garlic, tomato paste, wine, and broth to the pan.
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7
Bring the mixture to a rapid boil, then pour it over the ribs in the casserole.
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8
The liquid should not rise more than two-thirds up the side of the ribs and the ribs should not be entirely submerged.
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9
If you have extra liquid, maybe your casserole is too small and the ribs are too tightly packed; try dividing the ribs and liquid among two casseroles.
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10
Put the casserole in the oven, add the bouquet garni, and braise the ribs for about 1 1/2 hours.
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11
Pierce the ribs with the tines of a fork, if cooked enough, the fork will meet no resistance.
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12
Remove the casserole from the oven and let rest for 5 to 10 minutes before transferring the ribs to a plate or platter.
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13
Degrease the braising liquid, strain it, discard the solids, and reduce and reserve the juices for serving.
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14
The short ribs can be cooled, covered, and refrigerated for 1 to 3 days.
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15
Let come to room temperature before proceeding.
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16
Prepare an outdoor grill with a drip pan to prevent flare-ups or preheat the oven to 350F.
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17
Combine the mustard and honey in a bowl and liberally brush over the ribs.
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18
Grill or cook the ribs in the oven for 10 minutes, turning once, until the glaze is caramelized, dark, and delicious.
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19
If grilling, brush on more glaze as the ribs cook.
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20
Serve the ribs family style, passing the reduced braising liquid alongside in a sauceboat.