Between full moon and third quarter is called "waning gibbous."
Phase between third quarter and new moon is called a waning crescent
A waxing crescent Moon. Waxing is the term used to indicate that the observed "shape" is increasing in size/brightness. Waning would describe a decrease in size/brightness.
Full Moon is halfway between them on one side, and
New Moon is halfway between them on the other side.
From the New Moon to the Full Moon there is "waxing crescent", "first quarter," and "waxing gibbous".
The waning crescent
waxing gibous
Waxing gibbous phase
waxing gibous
The waxing crescent moon phase occurs between New Moon and First Quarter.
the waning gibbious
first quarter
Waxing gibbous phase
waxing gibous
Waxing Gibbous
A waxing crescent.
The waxing crescent moon phase occurs between New Moon and First Quarter.
Waning crescent.
Waning crescent.
waning crescent
the waning gibbious
the waning gibbious
first quarter moon
The waning gibbous moon does.