The Distribution Console is a snapshot of today’s activity. As a manager / admin you can see how many assignments have been made by each team, drill down into the logs, monitor the queues to see leads waiting to go out and check on the current availability of your team members.
In order to see longer term trends, such as how many leads team members have been receiving day by day you can use the Distribution Analytics tab. This allows you to see at a glance whether your setup is resulting in a fair spread among the teams and whether you are getting spikes at certain times of day.
Distribution Engine keeps a history of all the assignments it makes. As a native application this history is all available in your Salesforce org. We’ve provided some out of the box reports and dashboards to get you started or you can create your own adding in your own Salesforce data.