Step 1: Identify stone tool cultures and their timelines.
- Abbevillian (A): Earliest stone tool tradition, circa 1.5 million years ago, linked to *Homo erectus*.
- Mousterian (B): Associated with Neanderthals, 300,000–30,000 years ago, featuring advanced flake tools.
- Aurignacian (D): Emerged around 40,000 years ago, coinciding with *Homo sapiens* arrival in Europe, characterized by blades and ornaments.
- Kitchen Midden (C): Refers to prehistoric settlement debris, rich in tools and artifacts, generally post-Aurignacian.
Step 2: Determine chronological order.
The sequence from oldest to most recent is Abbevillian, Mousterian, Aurignacian, and Kitchen Midden.
Final Answer: \[\boxed{\text{The correct order is (A), (B), (D), (C).}}\]