I've been asking for some time how to best translate 'Garden of Eden' (proper noun) into Russian, and received answers like рай Рай рай́ский сад Эде́мский сад Эде́мский Сад Сад Эде́ма сад Эде́ма. These proposals are probably not equivalent at all. Also, I (2024)

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райские кущи

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It is not quite correctly to say about proper translation concretely from English.

The ususal name including the word 'Eden" is 'Эдемский сад [Eden's garden], as a suitable biblical reference.
But "сад Эдема" [garden of Eden] is also quite appropriate, it sounds more usual and less solemnly.

"Райский сад" [Paradise's Garden) is rather frequent (we don't use the word 'Эдем' so much), but may also refer to life after death, heaven.
Generally, "рай" means 'heaven', bit in bibilical context may also refer to the Garden.

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Gosh... you're really fixated on the issue, don't ya? )))

There are two ways to translate "the Garden of Eden" into Russian, both are correct and both are used:
1) сад Эдема (noun + noun)
2) Эдемский сад (adjective + noun)

Versions with the capital C in "сад" are incorrect, though it's a minor error.
"Рай" and "райский сад" literally translate as "paradise" and "paradisiac garden", so they can be used as synonyms in a certain context.

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@useritsme Maybe the word Paradise will be to your taste?

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@useritsme
If you're still not convinced a mixture of upper and lower case is grammatical, that's your problem. You've got the answer: сад Эдема / Эдемский сад. Stick to it.

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For my mind, the best options are "Эдем" or "Райский сад" (in this context word "Райский" should be written with capital "Р" in any positions).
I think so cause "Эдем" is the concrete bible Eden, which was (is?) the garden by nature. And, as a descriptive synonym, we may use "Райский сад". (On russian all words/collocations with concrete meanings are written with capital. You also may use a collocation "Райский Сад".)