It sounds to me like this:
[Lilo]
Mja! Mjau! Mj-mj! Mjau!
[I want to be fed. Now!]


[Hedda]:
Mjau!
[No, you've only just been fed.] (In Cattish, this is shorter than in English.)

[Lilo]
Mm-mj!
[It was worth a try]

[Hedda]:
Mja!
[I like you anyway, even if you are obsessed with food.]
(Again, this is a much used Cattish term of endearment, and so it's much shorter than in English.]

[Lilo]
Mmmju-mja!
[I like you too!]

Was that about right, for a translation?