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1
If the beef is frozen, run it under hot water so you can remove the packaging.
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2
Place the beef on a microwave-safe plate and microwave, uncovered, on high power for 3 minutes to partially defrost.
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3
Meanwhile, rinse, pat dry, and coarsely chop the mushrooms, removing any tough stems.
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4
Set aside.
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5
Cut the cabbage in half.
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6
Cut away and discard the tough core.
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7
Using a sharp chef s or slicing knife, cut the cabbage into thin shreds.
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8
Set aside.
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9
Peel the carrots and grate them using the large holes of a box grater.
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10
Set aside.
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11
Heat the peanut oil in an extra-deep 12-inch skillet over medium heat for 1 minute.
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12
Add the beef (fresh or partially defrosted) to the skillet and cook, turning and breaking up the meat, until it is completely browned, about 8 minutes.
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13
Drain any accumulated fat from the skillet, if necessary.
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14
Add the mushrooms to the skillet and cook, stirring occasionally, until they just begin to release their liquid, about 3 minutes.
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15
Meanwhile, mix the hoisin sauce, sesame oil, and 1/4 cup water in a 1-cup measure or small bowl.
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16
Add the hoisin sauce mixture, the cabbage, and the carrots to the skillet.
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17
Stir well, cover the skillet, and cook, lifting the lid to stir from time to time, until the cabbage is tender, about 3 minutes.
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18
While the cabbage steams, stack the tortillas on a microwave-safe plate and microwave until warm, following the package directions, 3 to 5 minutes.
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19
If desired, spread a little extra hoisin sauce in the center of each tortilla.
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20
Using a slotted spoon, place about 1/2 cup of the beef mixture in the center of each tortilla.
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21
Tuck in one end, roll up the tortillas burrito-style, and serve.