Śatapatha Brāhmaṇa ("of a hundred paths") 1.1.2.19

1.1.2.19

yadveva devatāyā ādiśati | yāvatībhyo ha vai devatābhyo havīṃṣi gṛhyanta ṝṇamu haiva tāstena manyante yadasmai taṃkāmaṃ samardhayeyuryatkāmyā gṛhṇ āti tasmādvai devatāyā 'ādiśatyevameva yathāpūrvaṃ havīṃṣi gṛhītvā

Another reason for which he announces (the oblation) to the deity, is this: whichever deities are chosen, they consider it as an obligation that they are bound to fulfil whatever wish he entertains whilst taking (the oblation); and for that reason also he announces it to the deity. After taking the oblations (to the other deities) in the same way as before,--