The lagging is either tucked behind the front flanges or is attached to the front face of the front flange.
When tucking the lagging behind the front flanges, cut the lagging just short enough that it can be inserted between the two soldier beams. e.g. If the soldier beams are HP12 at 8' c.c., the lagging should be about 7'-4" or 7'-5" long. You can attach the lagging to the front flanges with stick-welded, threaded, 1/2" dia. studs, nuts, and steel plates about 3" x 8" x about 3/8" with the hole slightly off center so that the plates bear equally on the upper and lower lagging boards. If you attach the lagging, you should buy uniform width lagging so that the studs can be uniformly laid out and welded If I am using 3" x 10" lagging, the studs would be installed in pairs, every 12" vertically along the soldier beams. NJDOT usually wants treated lagging. They have usually accepted treated-to-refusal mixed hardwoods (not kiln-dried).
Again, call me if you have any questions. It's easier and faster than using the forum.