The mazal (zodiac sign) of the month of Av is Aryeh (lion), which alludes to Hakodosh Baruch Hu. The word Aryeh is also an acronym for Elul, Rosh Hashanah, Yom Kippur, and Hoshanah Rabbah. Aryeh equals yirah (awe), highlighting the theme of awe during this period.
Summary
The custom to begin blessing others with 'Kesivah Vechasima Tovah' from the 15th of Av is rooted in deeper connections between the months and their spiritual themes, as reflected in the acronym Aryeh and its association with awe.
Mazal of Av is Aryeh referencing Hakodosh Baruch Hu
אריה ר"ת אלול, ראש השנה, יום הכפורים, הושענא רבה
אריה = יראה