'Homeland' Star Husband Demands Cash & Custody in Divorce

8/31/2015 12:40 AM PDT

'Homeland' Star -- Husband Demands Cash & Custody In Divorce

EXCLUSIVE

"Homeland" star Morena Baccarin's growing success could be exactly what hurts her in her divorce ... costing both money and time with her kid. 

Morena's soon-to-be ex-husband Austin Chick just filed docs in their divorce, and he wants his chunk of her paycheck. Chick claims Morena is pulling in $1.5 million a year.  He wants a cut for child and spousal support. 

Chick says Morena's constant travel for work isn't healthy for their one-year-old, so he wants physical custody. He also wants Morena to cover nanny expenses up to $3k per month. 

Chick says he's taken on the role of Mr. Mom ... taking their son to the zoo, the park, and caring for him on a daily basis.