Hello!
Geodirectory does not have a feature for redirection on login, and uses default WordPress behavior.
The link you reference does not look complete. Normally there should be a username like:
author/username/?geodir_dashbord=true&stype=gd_place
This would take the logged in user to the page that shows a list of their current listings of type gd_place.
I recommend you take a look at your functions.php and snippets for any snippets that might be causing that redirection. For example, do you have a snippet that looks like this: https://wpgeodirectory.com/docs/redirecting-the-login-page/
Try disabling your snippets and reverting to the stock theme functions.php to see if that changes the redirect.
If managed redirection for login, and improved profiles, if those are something you are looking for, we recommend you try our UsersWP plugin, which is free and available here: https://userswp.io
UsersWP integrates with Geodirectory to provide user profiles as well as Register and Login forms.