Engine Oil finishes very fast

The first thing you want to check for here is bad poison rings causing oil consumption issues, which may explain this. What you need is something like this: Pressure tester.

You need to do this in two test conditions:

• Dry (or at least, do not add oil if you see oil at the pistons); get the numbers and write them down.
• Wet testing: This is done by adding cheap oil (read: Walmart Supertech will work for this) in the spark plug area (not a lot, a little goes a long way) and do it again; as you did before, get the numbers and compare.
  

I do not know what "good" is for your VW, but most engines should be around 300-350+; 250 is borderline and 200 is usually bad; find out for sure by looking up the engine code. If you see significantly better pressure "wet", your piston rings are worn out and you need to rebuild or replace the engine to resolve the oil consumption. Since this is a VW, I wouldn't be surprised if the rings are bad. One of the problems with VW engines is they are known to have problems with this once they exceed 100k miles. It's German culture; the Germans consider things we do not consider wear items consumables so this stuff happens more than it should. An example of some of this absurdity is the E60 M5 F1 derived V10; the rod bearings are a "wear item" which requires an engine teardown every 100k miles >_<. For common cheap cars like a common VW in the US, we junk the car when oil in the trunk isn't enough. This works in Germany because they will pay someone to swap the piston rings and clean up the short block if need be and run the same engine. Poor maintenance makes this worse and accelerates when it happens in a VW engine. VW is not exactly a shining star for engineering quality. While Mercedes is the "nickel and dime" German car, they're at least built without such absurd issues but are expensive to repair for non-DIYers. BMW is similar to Mercedes.

I could understand consumable rod bearings in a Ferrari or McLaren (which are basically street-legal race cars you can track on the weekend), but on a common car everyone can readily buy not knowing it requires some absurd wear item? The M cars are commodity items!

If that is not it, the next thing to try is the PCV valve, potentially even taking it apart if you can and cleaning the system out if you can do so; at the bare minimum, just replace the valve. In some cases, a bad PCV valve can cause excessive oil consumption as well. If you see excessive black garbage on your spark plugs, that's usually a sign of definite oil consumption and it's usually beyond fixing with a PCV valve.

Beyond those two things, I am going to defer you to @dadibrokeit's answer; he covered the other bases I wanted to.

Hello!

Do you have a turbo? What kind of oil did they use?

VW is a German brand, it is important to remember they have higher octane gas than we get here. Use premium, it will make a difference.

If you have a turbo, you need to use 5w-40. Liquid molly.

Yes it's thicker than most cars take.

Because of the higher octane fuel, the engine runs hotter. It's not uncommon for our car (2015 1.8 turbo) to go though a quart a month and it's at 110,000 miles.

Be sure to use PINK coolant.

Also, you have a crush ring oil plug gasket. If they reused the old one it's possible that it's not tight enough and leaked. Have you noticed any oil stains under your car?

Best of luck.