Testing is to check the chip functionality when chip after tape-out using ATE!
Verification is to check the chip functionality when chip before tape-out using simulation!
What I know about the verification is functional level. It test your design functionality. However, for testing, it doesn't nothing to do with your original purpose. Instead, it's to test whether the die or chip is intact after taped out. In other words, it's physical level for checking out aborting in taped out process.