The verses in the Holy Qur’an do not indicate that the Paradise that Adam lived in was The Eternal Paradise. Rather, it was one of the gardens until Allah U had supplied Adam and Eve u with provisions, given them practice to go through the system and through the life on the Earth.
Allah U had created them originally to dwell on the Earth, as indicated by this verse:
﴾إِنِّي جَاعِلٌ فِي الأَرْضِ خَلِيفَةً﴿
“Indeed, I will make upon the earth a successive authority”
[Surah Al-Baqarah: 30].
However, The Trial Paradise was like a practice of living on the Earth. Allah U had made in it the Halal and Haram or the lawful and unlawful and the commands and prohibitions. So Allah U says:
﴾وَقُلْنَا يَا آدَمُ اسْكُنْ أَنْتَ وَزَوْجُكَ الْجَنَّةَ وَكُلا مِنْهَا رَغَداً حَيْثُ شِئْتُمَا وَلا تَقْرَبَا هَذِهِ الشَّجَرَةَ﴿وَقُلْنَا يَا آدَمُ اسْكُنْ أَنْتَ وَزَوْجُكَ الْجَنَّةَ وَكُلا مِنْهَا رَغَداً حَيْثُ شِئْتُمَا وَلا تَقْرَبَا هَذِهِ الشَّجَرَةَ
“And We said, ‘O Adam, dwell, you and your wife, in Paradise and eat therefrom in [ease and] abundance from wherever you will. But do not approach this tree”.