How to replace xbox elite controller without console?

Contsct support and they should be able to help you set that up. 1-800-4my-xbox if you're in the Us/Canada or http://support.xbox.com/contact-us

Microsoft Complete covers your Xbox One console, plus included controller, against accidents and mechanical or electrical breakdowns for up to three years. For covered controller and console, you get up to two replacements of a standard controller or one
replacement of an Elite Controller, and one replacement of the console – no deductible required.

If you contact official support you should be eligible for a replacement even without a warranty.

https://support.xbox.com/en-US/xbox-one/accessories/servicing-elite-controller

My day One controller was problem free until a few months ago when I dropped it hard on one of the bumpers, my fault nothing to do with the controller. Replacement new controller was a sturdier build and was working perfectly. Had to replace console
so got an Elite model with the Elite controller and I can confirm it is Elite.

If you have your receipt try checking with the retailer you purchased from and see if you are able to get a replacement or refund.

If not despite previous comments, send in your controllers for repair or replacements. It's best if your console is still covered by warranty as you won't need to pay much at all or any for that matter.

This link I am sending will tell you how to get your elite controller serviced

support.xbox.com/.../servicing-elite-controller

SEND IN THE BARE CONTROLLER, keep the removable sticks and DPAD, as you will be sent back barebone controller.