Will I, being an F1 Student possessing graduate research assistantship, sponsor my mother to USA, who received a 214B recently?

Your mother received a 214B rejection based on the consul’s belief that she would not return to the home country if she was issued a B-1 visa. I note that a B-1 visa is for business. There is the possibility that your mother may be allowed a B-2 visa to stay with you if you can prove that you and she were members of the same household and living together during all these years. There is more leniency these days to allowing nuclear members of a family to remain together where an adult child or spouse is coming or is in the U. S. pursuant to a long-term nonimmigrant visa. Due to the limitations of the Lawyers.com Forums, Alan Lee, Esq.'s (the "Firm") participation in responding to questions posted herein does not constitute legal advice, nor legal representation of the person or entity posting a question. No Attorney/Client relationship is or shall be construed to be created hereby. The information provided herein by the Firm is general, and requires that the poster obtain specific legal advice from an attorney. The poster shall not rely upon the information provided herein as legal advice nor as the basis for making any decisions of legal consequence.