Generally speaking, for the non-DAL types, at DAL, recovery is an obligation you might have if something happens to your trip before the first leg takes off. Lots of restrictions. If your whole trip NOOPs, the system is adequately flexible, and you can pick up a trip worth half the value to satisfy the recovery. If your cancelled trip is in the next bid month, a trip in the current or next bid month can be used to satisfy the recovery. You can pull something off the open board.

Re-route is what happens to your trip after the first airborne departure. Key part here is the premium and how it stacks with other reroute premiums and rotation pay like the after midnight cutout, min day, extended duty day pay, etc. The previous system was complicated, but the new system is much easier to figure out what you are owed.