make mine (something)
Make my order the thing that I specify. A: "I'd like a scotch on the rocks, please." B: "Make mine a double." A: "I think I'll have the ribeye steak." B: "Make mine the chef's special, please."
Make mine something.
I wish to have the thing named. (The something can be a particular food or drink, a flavor of a food, a size of a garment, or a type of almost anything. Most typically used for food or drink.) Bill: I want some pie. Yes, I'd like apple. Tom: Make mine cherry. Waiter: Would you care for some dessert? The ice cream is homemade. Tom: Yes, indeed. Make mine chocolate.