If you would like to modify the Author markup in the Schema plugin, you can make use of this code snippets, which allow you to filter the Author schema markup output.
Note: Author markup shows in schema:Article type and its sub types.
Example Code #1
Here is an example of how to remove Author Url from the markup:
Example Code #2
Remove Author URL
The Author markup include id property, which has the username of author exposed as part of the url. You can use this code snippets if you wish to remove the Author URL from the author markup.
You can add code snippets mentioned above to your Theme’s functions.php file.