Hi,
Thanks for using our plugins.
It is not currently a feature to search by a data range in either Pro of the Filter Bar.
The search starts with the date you choose and goes into the future with no limit.
I can see value if having a range of dates to search from and If you would like to request that feature please head to our UserVoice Page and add your own or upvote that feature as they will increase the chances of it being added to a future version.
http://tribe.uservoice.com/forums/195723-feature-ideas
Thanks