I attempted to swerve to not hit a piece of asphalt this morning and it ended up bouncing under my CR-V (2009). I now have this piece hanging down from the rear of the vehicle. The picture is taken from the rear of the vehicle looking forward. Any thoughts on what it might be?

Thanks everyone for your help!

 

Looks like a plastic cover to protect something, get under there and fold it back up and clip it back into place. 94

 

Yup. Cover on the lower control arm (Right side). Your picture shows that the other one is still attached.