Been a while now with nor replies, so here goes!
It is a coolant heater made by Erberspatcher. Designed to enable rapid warm up of engine and thus air con in cold weather. Fitted to the Dti only in the Omega range it generally works well until the salty gunge from the road builds up under the GM made mounting bracket. Then the aluminium heat exchanger rots through from the outside and deposits your engine coolant next to the off side front wheel
The heater has no user controls it is activated by a thermostat/ coolant temperature sensor. As yours has been disconnected I imagine it has suffered like all the rest. With mine I took considerable trouble in trying to find a replacement heat exchanger but to no avail. I was informed by Erberspatcher dealers that spares are only available from GM .
To test it you would need to check that the the in and out water hoses are connected and plug in the currently bagged up loom, not forgetting to confirm the diesel supply is intact If the person who disconnected it did a fair job I would hope that they removed the fuse from under the dash. from memory No 14 of 15. As they did not remove the heater it looks like a minimal disconnect job to me.
One other requirement is cold weather, again from memory a figure of below 5 C comes to mind as being specified, but mine kicked in about -2C. I'm pretty sure that I found out the connector pin out by repeated internet searching, but someone more clever that I should be able to tell you how to fool it into starting up.