Hey there, Shirelston! Since there's no LED on the Elite Strap with battery, that totally makes sense. You can tell what's going on by looking at the LED on the headset itself with your Elite Strap hooked up.
When the Elite Strap battery is plugged into your Meta Quest 2, the LED on your headset will turn on for 5 seconds.
Here is a link that breaks down all manner of FAQ's for your Elite Strap. We hope this clears up any questions you had. If not, let us know! Your Meta Store Support team is standing by and ready to assist!