I was born August 12 1994 (Wood Dog) and he was born December 10 1993 (Water Rooster)

Astrologically it is said that we are compatible. But our Chinese Zodiac says that we are not. Are we really not that compatible? Another Website says my Chinese zodiac day is white horse and he is green ox. What is our luck in love? I feel like this year has been so emotional for me and I feel like I'm getting no where. Please help, thank you