Bria Epps filed a police report with the Indianapolis Metropolitan Police Department yesterday -- claiming the threats started after a recent argument between her and her dad.

Bria tells TMZ, the argument started when Mike appeared on an episode of "The Wendy Williams Show" earlier this month and gave a shout out to two of his kids -- but that didn't sit well with his other offspring ... who were pissed at the snub.

Bria -- whom Mike fathered before he married his current wife -- tells us, she called Mike to express her feelings, and when things got heated ... she threatened to "air some family drama" to the media.

According to the police report, Mike flipped at the threat -- claiming he'd "f**k her up" and "cause her and her mom and grandmother problems." So, Bria filed the report.

But sources close to Mike tell us, the tension started before the WW show -- because Bria asked for Mike to give her lump sums of cash to pay for her college tuition. We're told Mike refused, insisting on paying the school directly ... and that's when Bria snapped and made the threat.