Welcome to permies Paulo
I don't know the fly species, but in my situation, flies only lay in compost if it's too wet/nitrogen-heavy, and the maggots die if it dries out.
Does the compost smell bad at all, or feel a bit wet?
if so, are you in a position thoroughly mix in something high carbon to balance it and dry it out?
Much easier if you can do it as you move it to another area....
What you use is entirely dependent on your local situation, and I know nothing about Brazil!
I'm comfortable using paper products over here. Dried leaves, dried grass, even wood chips if you're ok with it taking a while to break down.
Make sure your mother is digging a hole in the compost, adding the new stuff and covering it up with broken-down compost.
I also cover my compost pile with old carpet-keeps the critters out, lets air and moisture in, but makes it easy for me to add stuff into the pile.