동파육 is the dish that a Chinese poet named Su Tungpo was known to have enjoyed eating during the Song dynasty. 和 동파육 is the dish that a Chinese poet named Su Tungpo enjoyed eating during the Song dynasty. 的差別在哪裡？如果不好說明，請提供一些例句。

"X was known to have done Y" = "People say that X did Y, and I believe them."


"Is known to" sounds less confident. Here is what the speaker means when they say "X did Y" and what they mean when they say "X was known to have done Y":

"동파육 is the dish that a Chinese poet named Su Tungpo enjoyed eating during the Song dynasty."
=
"I am very, very confident that Su Tungpao enjoyed eating 동파육."
Maybe they have a letter from Su Tungpo where he says he enjoys 동파육, or someone they trust says they have that letter.

"동파육 is the dish that a Chinese poet named Su Tungpo was known to have enjoyed eating during the Song dynasty."
=
"I am confident that Su Tungpao enjoyed eating 동파육, but it's possible he never said it himself."
They might not have direct evidence that Su Tungpao enjoyed eating 동파육, but maybe they are still confident because other people said it, or he was observed eating it a lot.


There is another phrase that is even less confident than "is known to." You didn't ask about it, but it might be helpful to learn it. The phrase is "is said to."

"동파육 is the dish that a Chinese poet named Su Tungpo is said to have enjoyed eating during the Song dynasty."
=
"I have no idea if Su Tungpo enjoyed eating 동파육, but people say that he did."
The speaker is not confident at all that Su Tungpo enjoyed eating 동파육. They might even believe he did not enjoy eating 동파육. However, they acknowledge that most people believe he did.