Are there any Sharia-based proofs or convincing evidence to support the idea that sodomy and lesbianism will remain forbidden in Paradise, and is this consistent with Allah's promise of reward for whoever gives up something for His sake?

Indeed, Allah has enriched the people of Paradise with the lawful good things, making them independent of forbidden evils. Therefore, a believer in Paradise cannot request sodomy, lesbianism, or incest, because the people of Paradise are purified from bad morals and vile desires. Allah Almighty has described the women of Paradise as "limiting their gaze," meaning they do not look at anyone other than their husbands. The people of Paradise will desire whatever good things their souls crave. Such talk as this can only emanate from people of innovation and misguidance. Scholars have refuted those who claim the possibility of sodomy in Paradise, just as they have refuted those who assert that the Qur'an incites Arabs to sexual deviancy, for Arabs are the furthest of people from such practices.