2 things that might be worth trying, bend your legs so you can maintain a level swing, rather then swinging downward, which can make you concentrate on not hitting the table.
and try using both hands, but not in a "baseball bat" manner. if you rested the blade of a ruck on a table, put your right and left hand on the handle (which is hanging off the side of the table) and tried to put weight on it in a "push up" position - you have to pull upward really hard with your left hand while pushing downward with your right in order to balance. by doing that, you can apply constant force throughout your swing.
visual example:
...___O___......................................
,_|______|__,_____________________
........................|||||||||||||||||||||
the comma's = the pommel and the talon hole gaurd, the ||||||| - the table, and the O is a persons head
the .... is nothing, just to keep the position of the upper arms and head in place...
when you "baseball bat" something, your relying entirely on weight of the bat or the sword to push through your object. when you hold a baseball bat, your hands are right next to each other, in effect creating a single pivot point with no real way of applying pressure against it once the object your hitting starts resisting. so you end up with the tip trying to bounce backwards once it hits the 3rd bottle, and your arm has no way of counter acting that backward force.
if you space your hands apart in the "I'm trying to push cut through a peice of concrete" position, you can push cut as hard as you can throughout the entire swing, regardless of how much resistance your object gives.
it's harder to get speed out of it like you can with a baseball bat, but you might get a few more bottles out of it
when I tried to switch grips to the more powerful 2 handed sword grip with my ak47, it wasn't sharp enough to cut through the flat side of a jug of water (a hard task since it will tend to bend inward before being cut), I ended up throwing it across the yard since I was applying heavy pressure throughout the swing... it was funny. a total failure, but halarious to watch
edit: I just looked more closely at the video and realized that theres not much more you can do with the grip given how short it is... I think being more level with the bottles and trying to get the swing longer, more speed build up and a longer follow through might have helped.
I want one of those soooo bad...
is a huge amount of force to try to leverage. the farther away from your hand the point of leverage gets, the harder it is to maintain pressure. 
