Behavioral bugs caused by incorrect state changes are particularly challenging to identify because they depend on specific code execution paths. While code property graph (CPG) combine multiple code views through abstract syntax trees (AST), their built-in redundancy from syntax details and fixed connection rules make them hard to scale—a major problem when analyzing large software systems. We introduce Cogent, a new framework that improves CPG by combining graph-based code analysis with state behavior checking. Our main innovation lies in simplifying the CPG at the statement level by consolidating control and data flows into meaningful code blocks and optimizing the edges. This approach reduces the graph size by more than 10 times compared to AST-based methods while maintaining accuracy. This lightweight design allows easy integration of state tracking, where we match object lifecycle rules to simplified CPG connections using replaceable patterns. The combination of streamlined graphs and state-aware analysis helps Cogent effectively find difficult-to-identify behavioral bugs, successfully detecting 25 issues (including 17 confirmed cases and 2 official CVE) in real-world projects. Importantly, Cogent analyzes raw source code without requiring compilation and supports projects exceeding 1 million lines of code.