Tannins is a bitter compound that gives red wine its flavor, body, and texture. It naturally occurs in other foods and drinks, most notably in black tea.
Cooking with tea and red wine is quite similar. However, red wine is slightly more acidic, so you'll need a splash of vinegar to compensate for the taste.
After steeping the tea, let it cool down before stirring in a teaspoon or two of vinegar. Once the tea is cool, you can use it to marinate meat, braise veggies, or add it to soup.