Cisco 3750 switch throttling and prioritizing traffic

My company has run of 100 Mbps private between two locations. On either end is a 3750 switch. I believe there is finally enough traffic between the locations that I need to do some throttling and prioritizing so critical applications can still talk during the time our backups run.

I realize this would be better served by plugging both ends into routers but I'd like to try and make it work with the switches as I'd need to change my network architecture around.

Below is my code. My two questions are: 1) The policy is applied to the interface connecting to the fiber, yet when I run sh policy-map int gig 4/0/47 I get 0's for everything like nothing's being processed. 2) How do I prioritize Class A traffic?


ip access-list extended priority_list
permit ip host 15.5.5.31 any
permit ip host 15.5.5.39 any
permit ip host 15.5.5.10 any

ip access-list extended non_priority
permit ip any any

class-map Class-A
match access-group name priority_list

class-map Class-B
match access-group name non_priority

policy-map priority-policy
class Class-A
police 95000000 8000 exceed-action drop
*prioritize this traffic*
class Class-B
police 40000000 8000 exceed-action drop
*do not prioritize this traffic*

int Gig 4/0/47
service-policy input priority-policy