Can't remember the details from the previous news story, but I think the main complaint is that the program tells the children about "alternative" family groups such as kids with no daddies but two mummies, or kids with no mummies but two fathers, and that these alternative familial arrangements are just as "valid" (I guess that's the word they'll use) as the traditional family.
Muslim parents will disagree, viewing homosexuality as a sin (just as, until quite recently, most Christains did).
To their credit (now that I've compared the two groups) Muslims are more flexible than Christians: while they frown on homosexuality, and believe strongly in the one daddy, they think children may well benefit from having the loving support of two or more mummies.