"Offering her neither explanation nor Madhu"
"Offering her no further explanation - and no Madhu, either".
It's "neither/nor" - the negative version of either/or. In other words, "not A and not B either".
You can't write no/nor, ie, "He had no troothbrush nor toothpaste," because it doesn't convey that sense of a couple of things being weighed against each other.
Writing, "offering her no explanation or Madhu" sounds a bit odd. I can't really explain why, except that it doesn't convey the sense that there are only two things she wants right now: an explanation, and some Madhu.