It is also possible to search for recent answers, but then you do not see the question. I mean something like created:2d is:a. (Then you can sort the search result by activity or any of the other criteria offered in the search results - relevance/newest/votes/active.)
According to search help this returns answers posted two days ago.
The way to show posts posted today is to include actual date: created:2016-06-03.
I have posted a feature request related to the above. Although I do not think that there is big chance that it gets implemented.
According to search help there are two possibilities how search results can be restricted to some date range. Namely created: and lastactive:. The latter is based on the last activity of the post, for example if I search for use today's date, like is:q lastactive:2016-06-03, I will get questions ...
