You can view historical readings and export data via the Kaiterra app. This first requires that you pair your Laser Egg with the Kaiterra app. Once that is complete, you can choose your device on the homepage to access Historical Data.
From there, you can view AQI, PM2.5, temperature, and humidity by the day, hour and minute. To export, tap 'Data Export, enter your email and select the date range of your historical data. You will receive a .csv file in your inbox shortly after.