Preheat oven to 400-degrees.
In a small microwave-safe bowl, heat the butter, oil, sriracha, and honey. Whisk to combine.
Add the oyster crackers to a large bowl and pour the butter mixture over the top of the crackers. Stir well or toss to coat.
Add the basil, oregano, garlic powder, and Parmesan cheese to the crackers and stir well (or toss) to evenly coat.
Divide and spread the crackers onto two baking sheets and bake in a preheated oven for 7 - 10 minutes, stirring once.
Remove the crackers and cool completely.
Store in a covered dish for up to 2 weeks.
These would be great to serve along with a bowl of soup or chili.