The 1:1 ratio of 'brown' to 'greens' is based on the fact that almost anything you would put into a compost pile has more
carbon than nitrogen. Some things are 6:1 (greens), and other things might be 200:1 (browns). So with equal proportions of greens/browns, you should be in the ball park.
"Proper" composting is a 'fine
art', but it is not an exact science. There are C:N tables on the net (I can't find a bookmark right now), but they give ranges for different items. These ranges for a common item may be 6-20:1, or 200-300:1. So you would need a gram scale and a scientific lab to get exact numbers for each item. With a 1:1 ratio of browns:greens, you should be close to 'ideal'.
As I said in the previous post, if it smells, add more carbon - if it won't heat up, add more nitrogen.
The bottom line is that it will all turn to compost at some time. A 'perfect' pile will just do it quicker.
Some people won't put it in their garden until it is done, while others like to incorporate it earlier.
And others just turn the raw materials into the soil, and let 'it' happen there.
Those I know who like to incorporate it before it is 'finished' claim that it will help
feed the microbes in their soil.
(And that is the basic reason for adding compost.)
With compost, you can't do it wrong. Some is just 'righter' than others, depending on views.