Unfortunately for you, this "punycode" (RFC 3492) representation is used by browser vendors to increase security as it relates to their end users. This is largely to avoid homograph attacks where malicious actors register domain names using Cyrillic characters that look ever-so-slightly different from another Latin counterpart, which would more easily enable phishing attacks against users.
Google has an interesting document in their chromium
source control explaining why and how this occurs in Chromium/Chrome:
Many years ago, domains could only consist of the Latin letters A to
Z, digits, and a few other characters. Internationalized Domain Names
(IDNs) were created to better support non-Latin alphabets for web
users around the globe.
Different characters from different (or even the same!) languages can
look very similar. We’ve seen reports of proof-of-concept attacks.
These are called homograph attacks. For example, the Latin “a” looks a
lot like the Cyrillic “а”, so someone could register http://ebаy.com
(using Cyrillic “а”), which could be confused for http://ebay.com.
This is a limitation of how URLs are displayed in browsers in general,
not a specific bug in Chrome.
In a perfect world, domain registrars would not allow these confusable
domain names to be registered. Some domain registrars do exactly that,
mostly by restricting the characters allowed, but many do not. To
better protect against these attacks, browsers display some domains in
punycode (looks like xn--...) instead of the original IDN, according
to their own IDN policies.
Other major vendors have also published similar documentation:
Since this is handled at the individual browser level, if you are truly adamant about bypassing this punycode-ification of your domain, you'd have to work with each of the browser vendors to understand how to have your domain whitelisted such that it no longer is displayed in this fashion. A cursory search for such processes didn't turn up much of substance in this realm, so your best bet may be to reach out to the vendors directly. I wouldn't hold my breath on this unless your Cyrillic domain is one of the top ~500 visited sites on the Internet.