Consider the situation in which when I left my house in the morning for working, I found the street was wet. I think the following expression is ungrammatical.
昨日雨が降ったそうだ。
Because ~そうだ (conjecture) must represent event that will happen in the future or represent the current state of something or someone.
昨日雨が降りそうだった。
does not make sense as well, right?
Question
So what is the correct expression to say the following?
There might be raining yesterday.