High and very high are probabilities of signing. That is the whole point the new recruiting system. Highest team has the highest probability of signing, other very high teams have less probablity than the leader and more than high teams. All Very High and High teams have SOME probability of signing. That's how it works now, so don't get upset.
In general, 1 High and 1 VH in a battle, the High team has between 30-35% chance of signing the recruit. The only way to ensure a High can not sign is to knock him down to moderate.
We've had pages of arguments and calculations before on this subject.
Here is a
link that contains 5 links from beta that explains High/Very High.
Here are some calcs:
LINK .. here is that same scenario with 5% and a 10% bonus calc for the leading team:
LINK
11/2/2016 5:52 AM (edited)