In brief
CNG is compressed natural gas and LNG is liquefied. The difference determines the method of storage and the equipment used.
Useful to know
Natural gas is a mixture composed mainly of methane. For transport, AFDC distinguishes CNG, in which the gas is stored compressed, and LNG, in which it liquefies through strong cooling. [1]
Therefore, the two abbreviations do not mean interchangeable tanks and charging systems. In CNG, the main emphasis is pressure, and in LNG, the maintenance of a low temperature and a suitable vessel. [1]
Practically when reading a feature note explicitly the type of system. The general sentence "the car is on gas" is not enough neither for infrastructure nor for comparison of stored quantity.
Do not directly compare liters of liquid to a volume of gas at random pressure. Physical condition and conditions must be indicated. For a real car, use its documentation and equipment, not just the fact that the main component of the fuel is methane.
Sources
For further detail and to check the information: