The answer is not correct.
If you need 2 eggs for every 1 cup of flour to makes one batch of cookie, you can put it into an equation look like this:
2 eggs + 1 cup of flour ==> 1 batch of cookie
If you want to make 2 batches, the equation would be:
4 eggs + 2 cup of flour ==> 2 batch of cookie
The ratio of 2:1:1 is the same as 4:2:2. Only the amount that increased twice, but the ratio is the same. You don't need to double the ratio, but double the amount.