[router] add router db connector for responses api (#10487)

sgl-router/src/lib.rs

@@ -4,6 +4,7 @@ pub mod logging;
 use std::collections::HashMap;
 
 pub mod core;
+pub mod data_connector;
 #[cfg(feature = "grpc-client")]
 pub mod grpc;
 pub mod mcp;
@@ -229,6 +230,7 @@ impl Router {
             enable_igw: self.enable_igw,
             model_path: self.model_path.clone(),
             tokenizer_path: self.tokenizer_path.clone(),
+            history_backend: config::HistoryBackend::Memory,
         })
     }
 }