To generate short links with your own domain name, you have to add your domain to the wow.link database, set up DNS for your domain, and validate your ownership of the domain. That can be easily done with just a few simple steps (Check out "How to set up your own domain for URL shortening?").
If you have already added your domain to Wow.link, then to create a short link with your branded domain, select “Short Link” from the “Create” menu on the top of any Wow.link website page:
In the pop-up window, type or copy-paste the destination address URL to the text field #1 in the figure below. Select your domain from the list #2. In field #3, you can type your own preferable short link path (slash, hash, or link name). You can also add your description of this short link in field #4 for future references.
Then finally click “Create” to generate your new branded short link.