Two anthologies in text citations MLA?

This regards MLA style doentation. I know that normally I would mention the author in the sentence or in the parentheses and have the page number in the parentheses. But i am using two anthologies, so say that i have a sentence where i write the name of the author, and then provide the page number in the in text citation. would that pose a problem since there are two books/anthologies that i am using. do i have to write the name of the author again, even if it is already in the sentence for the sake of deffrentiation?