Hello Mark
Please check the following three things.
Please write down everything that you see on the "nameplate" of your variac and post it here. Please also show how all of the wires or terminals on the variac are labelled. Roger is right that most variacs that are commonly available will only be rated for 110V. If it is only rated for 110V and you connect it to 220V and you have a fire, and your insurance company finds out, they probably will refuse to pay. Guaranteed safety is why there are all those little UL logos on the serial labels of your home appliances.
Please use the ohm function of a DVM (Digital Voltmeter) to check that neither of the wires from your variac that you show connected to the element or L2 of your mains supply are connected to the wire that you are showing as connected to G on your mains supply. If one of them is connected, it will short out your supply.
Please check that the element is not connected to the chassis of the oven using the ohm function of the DVM. If one end is connected, you will short out your supply when you apply power.
It appears that the connection scheme that you have shown is rather unusual. I think that you will get a range of 110V to 220V across your element instead of the usual range of 0V to 220V. I don't know if that is your intention. We use non-variable autotransformers in the UPS' that we manufacture at work. One end of the winding is always connected to Neutral or Ground. The same goes for the big, three-phase variacs that we have in our test labs.
I hope that this helps you stay safe.
Phil