How to show with views quantity of new nodes in every taxonomy term.

You can try out the following  
1. For new rows -> You need  had some way to keep track of the last time when it fetched row from 
database,like
    #Creating contextual filter where you display date/month.
    #creating a date field to keep track of last data fetched date.
2. For count of rows->You need to use the "Use aggregation:" option which is in advance view.  

Thank You
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