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Toss the shrimp with the lime juice and salt/pepper them, set aside while the remainder of the dish is prepared.
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In a large 12" or larger skillet, heat the olive oil and butter over medium high heat, once melted, add the onion and sauté for 3 minutes.
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Add the mushrooms and cook for an additional 3-5 minutes or until both are soft and cooked.
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Reduce heat to medium, add the tomatoes, chilies, adobo sauce, and oregano. Stir well.
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Once warmed through, add the cilantro and the Coca-Cola.
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Taste and add salt and pepper, according to personal preference.
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Allow to simmer on medium, allowing to bubble and the sauce to begin to reduce.
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Add the tomato paste and mix in thoroughly, bring to a simmer again and then reduce the heat to medium-low.
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Incorporate the shrimp, mix in well, allow to cook through.
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Garnish with fresh cilantro and best served over rice.