himanshu0123"could date back to 2 million years ago" and
"could date back 2 million years" These both mean the same thing: it COULD be true that this practice began 2 million years ago. 2 mya would be the first time when it occurred, so it "dates back" that far, or to that point in time. (As I've said above, just don't mix the two usages together.)
"could be dated back" This would mean something entirely different: it COULD be possible for someone to perform the act of dating these back to 2 mya. In other words, it's not making a statement about what might actually be TRUE, but about what someone could PROVE using some technique (e.g. carbon dating). This doesn't make sense in context; the anthropologist is theorizing about what may have happened, not about dating methods.