In a MOSFET amplifier:
The Common Source (CS) configuration has its gate as the input, drain as the output, and source connected to ground (or a small-signal ground via a capacitor). The voltage gain in this configuration is negative, hence it is an inverting amplifier.
The Common Gate (CG) configuration has its source as the input, drain as the output, and gate connected to ground (AC ground). The voltage gain here is positive, meaning it is a non-inverting amplifier.
Hence, the correct statement is:
Common source amplifier is inverting and common gate amplifier is non-inverting.