A severe and irreversible judgment is sealed with a divine oath, establishing the eternal consequences of desecrating holy service. The very use of an oath indicates a final decree that cannot be undone through standard means [מלבי״ם].
The judgment makes it clear that this wrongdoing cannot be repaired through animal sacrifices or grain offerings. The primary approach among commentators views this as a direct measure-for-measure response. Because the sons of Eli disgraced the sacrifices themselves, they cannot now use those exact same tools to seek forgiveness, as that which acted as the accuser cannot be turned into the defender [מלבי״ם, מצודת דוד, רד״ק]. Furthermore, their privileged status as priests appointed over the offerings will provide no protection, rendering their sacrifices entirely useless [רד״ק]. Disgracing the Tabernacle is a direct desecration of God's name, an act so severe that standard offerings cannot provide a remedy, even if they were brought perfectly from this point forward [ביאור שטיינזלץ].
However, by specifically blocking sacrifices and offerings as the method of repair, the decree implies that other paths to forgiveness remain open. Even though sacrifices are ineffective, dedicating oneself to Torah study, acts of kindness, and prayer can achieve atonement [רלב״ג, רד״ק]. Sincere repentance also remains a valid path to repair the damage [מצודת דוד]. In fact, the absolute block on atonement applies strictly to the specific sin of disgracing the offerings, while their other wrongdoings can still be cleansed through repentance [מלבי״ם].
The judgment extends forever, meaning the burden of the sin is preserved for future generations to ensure the prophecy of disaster is fully realized [מצודת דוד]. Yet, the severe personal punishment is not blind. It only falls upon descendants who continue the corrupt ways of their ancestors and refuse to know God. Any descendants who choose instead to dedicate themselves to serving God will be spared from the personal punishment. They will, however, still carry the indirect consequence of their ancestors' actions: the permanent loss of leadership and the High Priesthood, which is removed from their family line for all time [רלב״ג].