|Oh, Rogers! You're ONE of a kind. Get it?|
In this case, Rogers is the name of one organization, just like Tim Hortons, McDonalds or Sears. In grammar terms, Rogers is considered singular and requires a singular verb and singular pronoun reference.
Top marks on the singular verb: Rogers gives. Just like: he gives, she gives, it gives. Singular subject takes a singular verb.
So why did the writer suddenly decide to use a plural possessive pronoun reference?
The correct sentence is:
Only Rogers gives its customers the freedom to do more.
There's only one Rogers, and it's headed for the Wall of Shame!