Split capacitor PCB mounting?
You'd have to make a custom footprint for the capacitor to get this result. It would look like a three terminal device in the layout. The schematic symbol / library part can express that two physical pins (pads) are connected to the same electrical net (pin) in the symbol. In Eagle you Ctrl+click the schematic footprint pads in the part definition pin-pad mapping dialog. It looks like this:

On the sidenote, I'm guessing those apparently orphaned vias are meant to stitch disparate ground planes together at multiple points to make them look more like a unified ground plane electrically.