How to make rescue dog quickly become a member of the family?

I am a pet lover and adopted a dog from the rescue station last month. However, her relationship with other pets in the family was not harmonious. I consulted the trainer and conducted a month of training and adjustment. But the results are still not very good.
Can you give me some advice, thank you very much.

My advice is to be patient. It takes time and a month is not that long. Keep training and be consistent