1. I like fully ripen persimmons.
2. I like well-grown persimmons.
Are they have the same meaning?
What is the English word for a persimmon which feels smooth and well ripen so that people can eat with ease?
Do you have a special term for that?
They don't mean exactly the same thing.
I like fully ripened persimmons. (You need the past participle form here since it's being used as an adjective.)
I like well grown persimmons. (No hyphen needed since "well" is an adverb modifying the adjective "grown" -- past participle form.)
The first one is the more useful term. The second simply implies that the persimmon grower is doing a good job!