And even though Matt hasn't formally filed divorce docs yet (we're told it's just a matter of time) ... the L.A. Clippers star told us both sides are finally moving on ... under peaceful circumstances.
"She's always gonna be my homie. She's the mother of my kids," Barnes says.
FYI -- the two were married back in 2012 and have 6-year-old twin boys together.
"She's always gonna be a part of my life ... so I have no ill feelings toward her."