Hi,
So, from what I can see it seems that "JT Login for Registration and Login" adds a "login" and a "register" buttons on your website, and when you click on them, it opens the login form or the registration form in a popup.
And from what I can see, it seems that for the login popup, they include the HTML of the Joomla login module in the popup. But for the registration popup, it's actually not Joomla's registration form, but "JT Login for Registration and Login"'s own registration form, which go through Joomla's registration process once you validate the form.
So, in this case, it's normal that HikaShop's registration doesn't display in the registration popup. It would require modifying "JT Login for Registration and Login" to support this.
One alternative I can propose would be using Modals:
extensions.joomla.org/extension/style-a-...ps-a-iframes/modals/
With it, you can easily add the modals tag to a custom HTML module (
docs.joomla.org/Help25:Extensions_Module_Manager_Custom_HTML
) to display a register button similar to what you already have, and use the URL of the HikaShop registration page with the extra paramater ?tmpl=component
This will allow you to have HikaShop's registration form in a popup quite easily.