I just checked into them and it looks like they offer 2 models, the LT 870 or LT 960. Is this what you're referring to? http://www.bekland.com

If so, have a close look at the control ports at the base of the unit. It seems that it has a DB-9 for serial control but that's somewhat of an advanced setup.

The white port that you see on the unit may very well take simple dry contact closures to send the unit up/down and stop. Then again there could be voltage, so I'd be VERY CAREFUL to test for voltage first!

If there is ........NO VOLTAGE.......you should be able to use something like a Xantech CC-12 to send the closures to operate the lift.

[Link: smarthome.com]

I'd contact the lift manufacturer and ask if they can send you a manual or schematics.