We must know that how various forms of sacrifice are presented before the Supreme Being. Sacrifice here doesn't merely mean ritualistic offerings but encompasses all actions performed in the spirit of devotion and selflessness.

The term "brahmaṇo mukhe" refers to the mouth of Brahman, symbolizing the divine. It suggests that all actions are ultimately directed towards the divine source. These actions, or sacrifices, are diverse and manifold, reflecting the multifaceted nature of human endeavours.

Lord Krishna advises Arjuna to recognize that all actions, regardless of their nature or form, arise from the same fundamental principle of karma, or duty. Whether it's the performance of rituals, acts of charity, or engaging in one's profession, they are all manifestations of karma.

Understanding this profound truth liberates the individual from the bondage of karma. By realizing that all actions are part of the cosmic order and are meant to be offerings to the divine, one transcends the limitations of mundane existence. This realization leads to spiritual freedom (vimokṣha), where the individual becomes free from the cycle of birth and death.

Thus, this verse underscores the importance of performing one's duties selflessly, with devotion and dedication, recognizing them as offerings to the divine. It teaches that true liberation comes from embracing one's responsibilities and actions in a spirit of surrender and detachment, rather than renunciation or avoidance of duty.