Hi,

I have tried for myself today, and it is working so I would suggest you please recheck if you have done the same steps below.If the problem persists please reach trailhead@salesforce.com

Follow these steps to display your Trailhead badges on your Success or Partner Community profile.
 
First, l verify which email address is associated with your Trailhead profile. Log in to Trailhead via trailhead.salesforce.com and click Log in on the top right.
 
You should now see your name in the top right corner and your points and badges listed underneath. Verify that you have the correct number of points and badges to make sure you logged in with the right account.
 
Now click on your name and then click on profile.
 Make your Trailhead profile public by checking the box next to Show Trailhead on my Public Profile.

Ok, now it is time to log in to the Salesforce Success Community or Partner Community.
 
Click the drop-down arrow next to your profile photo, and then click your profile. 
 
Scroll to the Certifications & Badges section, and click Link Trailhead account.
 
Enter the email address that you used while creating trailhead account.
 
Click Connect Account. We’ll send you an email with a verification code. If you do not receive the email, check your spam folder or request a new code.
 
After you get the email, go back to your profile.
 
Enter the verification code, and then click Complete Connection.
 
Check the box next to Show Salesforce Trailhead Badges on my profile to display your badges.

Hope this helps you!

If this helps you, please mark it as solved so that it will be available for others as a proper solution.

Thanks and Regards
Sandhya