Even though the previous owner said the pressure gauge is LM original, it looks like a spare part to me. Has someone an idea what the problem could be and how I could fix it?
If you take a look here -
La Marzocco - Linea 2AV - Rebuild - you'll see a pic of an LM pressure gage partially undressed. If I remember correctly (and that's iffy), the little coiled spring serves to dampen out some fluctuations in the needle. Perhaps yours is broken. But, even if that be the case, there is little you can do about it short of taking the gage to a "fix it laboratory". These "fix it laboratories" are scarce nowadays but they could fix this and calibrate your gage in a very short time frame. Unfortunately, those $ equal or exceed the cost of a new gage.
Whether the existing gage is equivalent to that originally supplied on your Linea would be very tough to determine without an autopsy - maybe even multiple disassemblies. The gage in the pic I linked to does look pretty good.
What is the nameplate data on the pump you currently use? While I certainly agree with what has been posted re the pump taking suction from a bottle, you could always buy a simple plastic container, drill a hole through the side near the bottom, and rig it such that the pump always has some positive pressure on the suction side.