Yes, the Integration is going to work much better with some extra line voltage.
Here is an example of an autoformer that would work for what you need to do:
https://www.foster-transformer.com/product.aspx?GUID=e3ede396-dc23-43de-a42b-d0896abbf3cfYour incoming AC connects to the 0 and 220V connections and the output connects to the 0V and 230V connections. I would not recommend using the 240V connection unless you plan to connect more devices, as the 1500VA rating means that 220V coming in will make more than 230V on the 230V tap.
As far as how to actually do this safely, there is some enormous convenience with this unit because it has wire leads. You can take a spare power cord and cut it in half, strip the big jacket and small wire jackets off, then solder and heat shrink it to the transformer leads. Though I can't see the datasheet for the autoformer, there is likely a ground wire that should be connected to the ground lead on your power cord. If such a wire is not present, I would use a machine screw, nut, and solder lug to add one to one of the mounting legs of the autoformer.
-PB