This post is really confusing. You said "my baby". Does that mean you are the mother? or you are the father? or something else?
You said "my oath to be citizen will be end of august". Is that the Oath to become a citizen of the U.S.? So you are in the U.S. and you are a U.S. permanent resident and you will become a U.S. citizen?
You said the baby was born in Canada and has never been to the U.S. Does that mean that you are not with the child?
You said "her mother has a usa passport". Does that mean you are the father? (since you are not a citizen yet)
I am guessing from all this, that you are the father; you are in the U.S. and about to become a U.S. citizen. The child's mother is a U.S. citizen, but did not spend much time in the U.S. her whole life. And she lives in Canada (along with the baby).
If so, were the two of you married when the baby was born? (This is important.) If not, then the mother only needs to have had one continuous year of residence in the U.S. to pass U.S. citizenship to the baby. (Any one year period will do, even the year before she was 1. However, it needs to be a continuous year, with no interruptions.)
If the two of you were married, then to pass U.S. citizenship to the baby at birth, the mother had to have spent a total of (not necessarily continously) 5 years in the U.S., including 2 years after the age of 14. I gather that she does not meet that.
If the baby does not get U.S. citizenship at birth from the above conditions, then there are two options:
* One of you petition the baby to immigrate to the U.S. i.e. apply for a green card. This involves the I-130, and consular processing, etc. Once the baby is in the U.S. with a green card, and lives in the U.S. with either the mother or you after you become a citizen, the baby will automatically become a U.S. citizen.
* The N-600K route, which involves using the time spent in the U.S. by the mother's parents (assuming one of them was a U.S. citizen). You apply, and then enter the U.S. to take an oath (although they may skip that for a baby this young), after which they become a U.S. citizen. This route may be more cumbersome because it involves gathering evidence of the grandparents' residence in the U.S.