From what I understand, this means "Please refrain from smoking". However, I cannot find what "goenryo" means by looking it up in the dictionary.
Can someone help me by explaining what it means?
I suppose it is Tabako-wa goenryo kudasai(タバコはご遠慮ください).
Refrain from smoking.
遠慮 means refrain from. Similar to 控える. Commonly used in instructions.
"go" is to be polite and is not part of the word. The word is enryo.