i have a daughter who is a us citizen and she wants to make a petition for me to become a us resident, but i would like to know if the petition covers my husband ( who is her stepfather) and my children whose ages are 13 and 15

no, your husband and children can't be included in a petition for you if you are petitioned by your daughter. She would have to either petition them separately (if they are qualified relatives), or you'll have to do it when you become permanent resident.