Unfortunately it is not possible to move your emails directly from the results of a search in Mailbird.
We are aware of the fact that moving one or more emails from your search results is something which a number of customers would like to be able to do, and so we have set up a page where you can vote in favor of introducing this ability. Simply click on the link below to add your vote towards this.
While we are sorry that this feature is not currently available, rest assured that every vote counts as part of our development roadmap, so we appreciate the time you will take to vote for this feature.