Mount drive through command line (as if I clicked on it in nautilus)

Try udisks --mount <device name>

To mount by partition label, you can do

udisks --mount /dev/disk/by-label/baydrive

The most equivalent (at least for ubuntu 14.4) is

udisksctl mount --block-device /dev/disk/by-label/baydrive
udisksctl unmount --block-device /dev/disk/by-label/baydrive

The difference between udisks and udisksctl is that udisks always mount under /media, while udisksctl mount where nautilus would, which is sometimes /media/${USER}