Actually not just that, but Matthew 1:2-16 actually lists those generations. I will not list it all, but for example Matt 1:2 looks like this:
2Abraham was the father of Isaac,
Isaac the father of Jacob,
Jacob the father of Judah and his brothers,
That's three literal generations in that genealogy of Christ, as summarized in 1:17.
So, you know, we don't even have to look far and wide for what meanings "generation" might have held for Matthew, because in 1:2-16 he actually tells us.
So, you know, bias or not, I'm afraid he's right about that one. I mean, I'll agree that his style could use some improvement (but then mine could too), but it seems to me like where that's what the bible says, that's pretty much it, innit? Regardless of bias, motivation, likes/dislikes, etc, of the reader, that IS what it says.