Brahmaarpanam Brahma Havir
Brahmaagnau Brahmanaa Hutam
Brahmaiva Tena Gantavyam
Brahma Karma Samaadhinaha
[This is 24th verse from the 4th chapter of Bhagavad Geetha] The act of offering is Brahman. The offering itself is Brahman. The offering is done by Brahman in the sacred fire which is Brahman. He alone attains Brahman who, in all actions, is fully absorbed in Brahman. (As we chant this prayer we are offering the different types of food to Brahman).
Aham Vaishvaanaro Bhutva
Praaninaam Dehamaashritha
Praanaapaana Samaa Yuktaha
Pachaamyannam Chatur Vidam
[This is 14th verse from the 15th chapter of Bhagavad Geetha] This sloka is a sort of acknowledgement and assurance to us from Brahman. "I am Vaishnavara, existing as fire God in the bodies of living beings. Being associated with ingoing (prana) and outgoing (apaana) life breaths, I will digest all the four different types of food (that which we bite and chew; that which we masticate with the tongue; those which we gulp; that which we swallow) and purify them."