Different surnames in reissued passport and Visa(old passport) - Do I need to update my visa surname for EAD?

Hi I have a concern regarding different surnames in my visa and new reissued passport. I have L-2 Blanket Visa valid till Apr,2019 but now I have reissued passport with my after marriage particulars ( surname is changed). I have all supported documents for this like marriage certificate,Aadhar card with after marriage particulars. I just want to confirm regarding EAD. I will be applying for EAD once I will reach US. So,Do I need to get my surname updated in my visa as well or will both passports and relevant documents would suffice. Please help!