I was requested that documents yesterday.
I requested that documents yesterday.
Which one is correct the one, with was or without was?
They mean something completely different. As user57399 noted, in both cases you should use those, or use the singular document.
If you say
I was requested that document yesterday.
You mean that someone else asked you for the document. You did not request it, someone else requested it, from you. However, the sentence is not natural, because we need, as @BobRodes points out in his comment, an infinitive after requested in this case.
So if you were asked for the document, you could say:
I was requested to provide the document yesterday.
If you say
I requested that document yesterday.
You were the one that asked for the document.
So both sentences can be correct, but it depends on what you mean to say.
Without "was". The word "requested" is itself the past form of the verb request. By the way, your sentences are incorrect in another way, because if using the plural "documents" you must say "those" not "that".
So: "I requested those documents yesterday" (plural) Or: "I requested that document yesterday" (singular)