For each candidate for the election, the number of badges Moderation/Editing/Participation are listed. Going the badges section of the help center did not help in figuring out exactly which badges count as being under those categories.
All the details can be seen in Shog9's answer on Meta Stack Exchange: What are the details on the “candidate score” which shows during an election?
I will just add that if you look at a specific candidate, you can see also list of their badges in a specific category in a tooltip if you hover over the number of badges (such as 5/6, 6/6, 8/8, etc.) Here is a screenshot:
I will point out that this categorization (into moderation, editing and participation badges) is different from the one in the list of badges.
As you found out in the election chatroom, the ElectionBot can also list those badges.