From: Carnegie, Australia
Routing = running off in total dis array and Shattered = Destroyed.
If you are playing as the german you may want to avoid these and go for a Surrender.
15.9.4. Effect of Routing
When a combat unit routs, it has its CV set to zero and then the unit performs a displacement move (15.10). Routed units may move but may not move adjacent to an enemy unit unless stacked with a friendly combat unit. Routed units do not participate in combat, but if part of a stack that is attacked and is forced to retreat, the routed unit will be shattered. Routed units do not have a ZOC and will not gain control of adjacent unoccupied enemy hexes. Routed units are forced to make a displacement move if they are alone in a hex and are next to an enemy unit (if the routed unit is isolated, it will shatter). Routed units do not receive replacements. Support units don't remain routed, but do take retreat attrition and displace if the unit they are attached to routs.
15.9.2. Effects of Shattering
When a unit shatters, it is considered destroyed and removed from the map. Ground elements in the unit are affected as follows:
Damaged ground elements are captured.
Undamaged ground elements may be captured depending on their experience, the distance from their unit to an in supply friendly unit, and whether their unit is completely surrounded by enemy controlled hexes (If Rnd (60 + range in Hexes to an in supply friendly unit) > experience of ground element + Rnd (200*), the ground element is captured. *this value is 100 if the unit is completely surrounded by enemy controlled hexes).
If a ground element is not captured, and it is a Soviet infantry or cavalry squad, then there is a chance the unit will become a partisan squad in a newly created partisan unit.
If the ground element is not captured and does not become a partisan squad, then the ground element's AFV/Combat vehicles, devices and manpower are returned to the appropriate production pools