More info in the Antonio Brown police investigation ... the NFL star's baby mama initially told cops he pushed her during a heated argument -- but then tried to get police to "cancel" her report.
It's all laid out in documents obtained by TMZ Sports ... a woman who has a child with Brown went to the Hollywood Police Dept. in Florida on January 18th to report a domestic violence incident that took place on Jan. 17th.
The woman initially told cops she went to Brown's home to drop off their daughter and get reimbursement for the daughter's recent hair appointment.