The Turn signal relay lives under the plastic at that point.
Why did you remove the relay from those 3 wires?
You need to wire up a Turn Signal Relay there.
Chances are the Turn Signal Relay Fuse had blown (Fusebox 1, fuse 1) as that provides power to the relay (not to the bulbs!!) which makes it flash.
If that fuse goes, they will stay on constantly rather than flash.
When you fit the new relay, Black/Yellow is ground(-ve), Orange is switched, Orange/Grey is power (+ve).
The OEM part is 27002-1090 (for the 2008 model) and costs about $60.