Finely chop the onion and garlic.
In a medium saucepan, melt the butter and olive oil over medium heat.
Sauté the onion and garlic for 2-3 minutes, until translucent.
Add the fresh rosemary and sauté for another minute, until fragrant.
Pour in the red wine and bring to a boil. Let it simmer for 5 minutes to allow the alcohol to evaporate.
Add the vegetable broth, balsamic vinegar, and honey, then stir to combine.
Simmer over medium heat for 10-15 minutes, until the sauce has reduced and thickened slightly.
Stir in the heavy cream and continue to cook for another 2-3 minutes, until the sauce is creamy.
If you prefer a thicker sauce, whisk the cornstarch with cold water, then pour it into the sauce. Cook for an additional 2 minutes.
Taste and adjust the seasoning with salt and pepper, if necessary.
Before serving, strain the sauce for a smooth texture. Serve warm with roasted meats, fish, or vegetables.
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