My dad file for my mom for a permanent resident card but she got denied because she try to cross illegal with documents of another person, and my mom bean in Mexico for 10 years and I'm a US citizen and I would like to file here papers again you think will have the same problem

Sounds like she has a lifetime 6C ban for misrepresentation. She will need to apply for a waiver with I-601 based on hardship to her spouse (your dad).

It seems from your description that she already got to the stage of applying for the immigrant visa based on your dad's petition, and was denied the visa because of the ban. If so, she should prepare the waiver application and continue with the visa based on your dad's petition. There would be no benefit to you petitioning her; she already has a petition that is current and she can get an immigrant visa from, except for the ban, and you petitioning her would be no different.