namaste,
The portion basically amounts to "May the devas be pleased with my previous prayer, and grant me favour".
A quick search shows this to be section 1.1.13.3 from the taittiriya samhita. A translation is available from
http://www.sacred-texts.com/hin/yv/yv01.htm. Searching for "Accepting this supplication" will get you to the right spot.
This kind of translation / commentary is totally useless as an end-product, but can be quite useful as a catalyst to understand the text.
Incidentally, the first part of this anuvaka, which precedes your quote ("vAjasya mA ... prajAm yoniM mA nirmRkSham") is quite interesting.
sasneham,
ajit