The developers at Pushbullet seem to have some kind of strange compulsion that forces them to add cool new stuff to their Android-desktop syncing and notification app on a regular basis. Not that we're complaining - PushBullet is a personal favorite of many of us here at Android Police. Today it gets a little better still: the latest update to the Android app and various browser extensions adds the action buttons from Rich Notifications to the mirrored alerts on the desktop.
Android doesn't actually have a formal name for these - they're the contextual buttons that appear on some notifications when you expand them. For example, Gmail's standard full-sized notification for a single new message includes "Archive" and "Reply" buttons, while the AOSP alarm clock includes "Snooze" and "Dismiss" buttons. Now the synced Pushbullet alerts that you see on your desktop will show the same options. Clicking them with your mouse will perform the same action on your phone without touching it. While this obviously isn't ideal for replying to email, it's extremely convenient for actions like Archive or Snooze.
Here's a video from a Pushbullet developer briefly demonstrating the new feature:
Notifications in Pushbullet for Chrome will be displayed with a catch-all button for Rich Notification actions, which can be expanded with a single click (thanks to a limitation in Chrome's API). In the Pushbullet extensions for FireFox and Opera, all options will show up after you click the Pushbullet icon, and everything should appear immediately in the beta Windows app. The updated Android app will be published to the Play Store this morning at 6AM Pacific, but may take a little while to actually appear.