The Prophet SAW said what it means: "Whoever relieves a believer of one hardship, surely Allah will relieve him of one hardship on the Day of Resurrection. Whoever makes other people's affairs easy, surely Allah will make his affairs easier in this world and in the hereafter." (HR Muslim)
"There is no act done by humans on the day of sacrifice that Allah likes more than shedding blood (slaughtering sacrifices). Verily, it will come on the Day of Resurrection with its horns, hooves, and feathers (and placed on the scales) and verily the blood of the sacrificial animal will have a position in the presence of God in a high place before it falls on the earth. . . Therefore, be sincere in your heart when making that sacrifice." (Hadith Narrated by Imam Tirmizi)
Surah al-Hajj verse 36, Allah s.w.t says; "And We made the camel (which was given to the poor of Mecca) a part of God's religion for you; in slaughtering that camel there is good for you; therefore mention the name of Allah (while slaughtering it) when it stands on its three legs, then when it falls (and loses its life), eat part of it, and give (the other part) to those who do not ask and those who ask. Thus We made it easy for you (to master it and slaughter it) so that you may be grateful".
The Word of God S.W.T. in surah Al-Hajj verse 36-37, "then eat part of it (the sacrificial meat) and give food to those who are satisfied with what they have (those who do not beg) and those who ask. The sacrificial meats and His blood can never reach (the pleasure of) God, but it is your piety that can reach it".
"There is no deed done by the son of Adam on the day of al-Nahr (Aidiladha) that is more loved by ALLAH other than shedding the blood (of a sacrificial animal). Verily, it will come on the Day of Judgment with its horns, feathers, and hooves and verily the blood will receive Allah SWT rests before it falls to the earth. So, purify your soul (with sacrificial worship)." (Tirmidhi's Narrative)