There is an advanced option with Better Coupon Box - Premium version that targets different groups of customers, thus showing two different coupons to New Visitor and Returning visitor.

This option will work best if the app has been applied on your store for awhile now. 

But if the app is newly-installed, therefore it does not have the customers' history on your store yet. In this case all the customers will be considered as your new visitors until the 10th day of their visit on the store. And after the 10th day, they will be considered as returning customer.

In order to check the feature, you can by opening your store in a Private tab --> You will see the coupon appear (there's no browsing history if you open the Private tab). Afterwards, please adjust the date and time of your computer to the next 10 days, you will not see the coupon anymore.

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