Bhashya
अथ अनन्तरं याज्ञवल्कीयस्य काण्डस्य वंश आरभ्यते, यथा मधुकाण्डस्य वंशः ।व्याख्यानं तु पूर्ववत् ।ब्रह्म स्वयंभु ब्रह्मणे नम ओमिति ॥
In plain words
Now the lineage for the Yājñavalkīya book begins, just as it did for the Madhu-kāṇḍa before it -- and it is explained the same way, so there is no need to repeat the method. Brahman, self-existent. Homage to Brahman. Om.
Close to the Sanskrit
Now next, the lineage of the Yājñavalkīya book is begun, just as the lineage of the Madhu-kāṇḍa [was given]. The explanation, however, [is] as before. Brahman, self-existent; homage to Brahman; Om -- thus.