BRUNT: Of course there is. You can break the contract.
QUARK: Me, break a Ferengi contract? Never.
BRUNT: Never? I wonder if there's enough Ferengi left in you to stick to that. Part of me hopes you will break it because then everything you and your family own on Ferenginar will be confiscated and sold to the lowest bidder. Your mother will be forced to live in the streets, begging for scraps of food and of course no Ferengi will do business with you, or even talk to you. You'll be cut off from all contact with your own people.
QUARK: I like Ferengi. I feel comfortable around them.
BRUNT: Well, we don't feel comfortable around you. You're a disease, Quark. A festering tumour on the lobes of Ferengi society. And it's my job to cut you off.
DS9 "Ferengi Love Songs":
QUARK: Mother? (She lets him in.)
QUARK: Moogie, hold me.
So Quark's mom still has her home and is doing quite well.
QUARK: I had no place else to go.
ISHKA: Are you sure about that? Oh, now don't give me that look. You and I both know we've never really gotten along. You disapprove of me, Quark. You always have. Moogie, stop wearing clothes. Moogie, stop earning profit.
QUARK: You have stopped, haven't you? I mean earning profit. Wearing clothes is bad enough, but profit.
ISHKA: You see what I mean?
So Quark's mom is alive and well and not on the streets. (And dating the Grand Nagus to boot.)
After Quark breaks the contract the FCA should have seized all of Quark's things including his mother's possessions. She should have been out on the streets as Brunt stated. This all happened well before she was dating the Nagus so it couldn't have been him who protected her.
Why was she allowed to keep her possessions?