In Primo, use the filters on the left side of the results page, after you've launched a search. You can sort your results by date, or use the publication date filter to select a specific date range.
You'll also find publication date filters in the Advanced Search options.
Most of our library's individual databases will also allow you to limit your search by date. Limiting options are usually located beneath the search box (if you don't see it on the basic search page, look for an advanced search link), and are often found on the results page as well.
See screenshots from EBSCO and ProQuest below (click thumbnails to view larger):