Shatapatha Brahmana 11.2.2.6

11.2.2.6

atha yāmetāmāhutiṃ juhoti eṣā ha vā asyāhutiramuṣmiṃloka ātmā bhavati sa yadaivaṃvidasmāllokātpraityathainameṣāhutiretasya pṛṣṭhe satyāhvayatyehyahaṃ vai ta ihātmāsmīti tadyadāhvayati tasmādāhutirnāma

And, verily, whatever offering he there performs, that offering becomes his body in yonder world; and when he who knows this departs this world then that offering, being behind him, calls out to him, 'Come hither, here I am, thy body;' and inasmuch as it calls out (invokes, âhvayati), it is called 'âhuti' (offering or invocation).