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Combine 1 Tbsp. soy sauce, ginger, sherry (if desired), and 2 tsp. cornstarch in a medium mixing bowl; whisk to blend. Place in a large resealable bag.
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Add pork; marinate, refrigerated, for 30 minutes.
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Combine remaining 1 Tbsp. soy sauce, pineapple juice, vinegar, tomato paste, honey, and remaining 2 tsp. cornstarch in a medium bowl; whisk to blend. Set aside.
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Heat 1 Tbsp. oil in large nonstick skillet (or wok) over medium-high heat.
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Add pork; cook undisturbed for 1½ minutes. Cook, stirring constantly, for an additional minute, or until pork is browned but not cooked all the way through. Remove pork from pan. (Note: This may need to be done in 2 or more batches, so that all of the pork has contact with the pan and is seared.) Discard any leftover marinade.
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Add remaining 1 Tbsp. oil to skillet; heat over medium-high heat.
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Add onion and bell peppers; cook, stirring frequently, for 2 minutes.
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Add pork; cook, stirring frequently, for 1 minute.
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Add pineapple juice mixture; cook, stirring frequently, for 1 to 2 minutes, or until sauce has thickened and pork is cooked through.
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Add pineapple; cook, stirring frequently, for 1 minute.
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Divide between four serving plates. Garnish with cilantro if desired.
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Serve each portion with ½ cup cooked brown rice, if desired.