Below is pseudo-code which demonstrates my desired functionality. The code needs to be placed in on the grabbed object. The part in Bold is what I need clarification on.
if (_OVRGrabbable.grabbedBy=="LTouch") { //Do something }
EDIT:
Solution :
Public OVRGrabber LeftGrabber; // Drag grabber to inspector field
if (_OVRGrabbable.grabbedBy==LeftGrabber) { //Do something }
I figured it out. You can check the static float from OVRInput.Get(Axis.1D.PrimaryHandTrigger, OVRInput.Controller.LTouch), 0 is not pressed, 1 is pressed to the end.