Howdy Rachel and thanks for getting in touch!
We do not have a featured for sticky events in List View. If you would like to request that feature please head to our UserVoice Page and add your own or up-vote that feature as they will increase the chances of it being added to a future version.
http://tribe.uservoice.com/forums/195723-feature-ideas
It is also possible with a customization.
You could modify the Event List Template following our themer’s guide:
https://theeventscalendar.com/knowledgebase/themers-guide/
…and add a custom query in there to show recently published events.
I can help with some more information to get you started, but unable to provide all the coding for a customization.
Does this help answer your question? Please let me know. 🙂
Cheers,
Geoff