Does the energy comsumption of a microwave depend on the amount of food inside?

The magnetron in most common home microwave ovens only has one power rating. Different power settings are accomplished by turning the magnetron on and off at different intervals. See: https://en.wikipedia.org/wiki/Microwave_oven#Control_panel

According to a couple of answers at https://electronics.stackexchange.com/questions/206206/is-a-microwaves-output-power-proportional-to-the-mass-of-its-contents/361645 , where they conducted experiments, the power draw (practically) does not depend on the amount of food in the microwave oven. As for the efficiency, some energy is absorbed in the walls and other parts of the oven.

If the microwave oven is operated without a dissipative load in the cavity, the microwave energy in the cavity increases until it builds to a level that begins affecting the operation of the magnetron itself, with the potential of destroying the magnetron in the process. This is why the microwave manufacturers assert you must not operate the oven without a load in it.

It is possible that your microwave detects the no-load condition and cuts back the power output of the tube so it doesn't get damaged. Experiments will answer this question.

The magnetron puts out the same amount of RF energy regardless of how much food is in its cavity (unless it has a no-load detect feature). This means that if you double the amount of food in it, you double the time it takes to heat it all up, and if you cut the food load in half, you cut the cooking time in half too.

Microwaves are, unsurprisingly, waves and act accordingly.

When waves are created, they travel away from the source until they are either absorbed or reflected. This is known as forward power. A closed cavity reflector such as a metal oven absorbs very little, but reflects them around until they return to the source. This is known as reflected power.

At some point the wave power in the closed box must be absorbed, causing local heating. If the oven is empty, most of the power will be re-absorbed by the emitting circuitry, causing it to overheat. Depending on the technology the oven will either turn itself off briefly, turn itself down, or break down.

Food is the obvious absorber, or load. The maximum power theorem states that the maximum amount of power will be absorbed when the source and load impedances are equal, or matched. The oven will have a design limit on the amount of food it can cook and will (or should) be designed to match the impedances at this point.

Any different amount of food will cause some power to be reflected and the source must be capable of absorbing that reflected power. This is as true for excessive amounts of food as it is for small amounts. In practice food is not closely-characterised electromagnetically and there will almost always be 20% or more reflected power to deal with.

As well as the power absorbed by the food, the total power emitted includes any reflected component.

The power actually consumed also depends on inefficiencies such as the internal resistance of the circuit. The "power" charged for by the supplier will also depend on the power factor of the circuit in operation, as suppliers actually charge for current not power; this is true for all electrical appliances.