Customizing the display of archives

I was using the shortcode [eab_archive] to display a list of my events.

However, I'm finding that some of the content that here is unneeded or I'd like to reword some of it.

Is there a way to customize the output of shortcode or create my own that outputs what I want. Or is there a query I can drop in my template that will display only the content that I want?