This feast and this devotion is summed up nicely in the Introit Dignus est Agnus of Christ the King: Christ deserves to receive all glory and honor because He sacrificed Himself for the remission of sin. Read the story (linked above) to see how giving glory to God has been the objective of this devotion through its history.
Dignus est Agnus, qui occísus est accípere virtútem, et divinitátem, et sapiéntiam, et fortitúdinem, et honórem. Ipsi glória et impérium in saécula saeculórum.
(Ps) Déus, judícium túum Régida: et justítiam túam Fílio Régis. Glória Pátri. Dignus est Agnus
The Lamb that was slain is worthy to receive power and divinity and wisdom and strength and honour; to Him be glory and empire for ever and ever.
(Ps) Give to the King, O God, Thy justice, and to the King's Son Thy judgment. Glory be to the Father. The Lamb.