Damaged engine mounts can lead to vibration and roughness felt in the steering wheel. A rattle in the dash and engine area may also be heard. Replacement of damaged mounts will commonly correct these issues.
Car Problem Reports
Honda Civic Hybrid Bad Engine Mounts May Cause Vibration, Roughness, and Rattle
Honda Civic Hybrid Problem
Visitor, 2005 Honda Civic Hybrid, 40,430 mi
Left upper engine mount replaced at 40,430 miles. Presented as a vibration and low rumble. Again at 83,767 miles with same symptoms. Now am replacing 3 engine mounts and one transmission mount. All these problems identified at the Honda dealership and repaired by dealership.