Diddy‘s missing some of his kids’ milestone moments while he sits in a New York City detention center … ’cause they took over a fashion show in L.A. while their father fights for freedom.

The famous brood pulled up to AVALON Hollywood & Bardot — a historic nightclub in the City of Angels — Thursday night for Ellaé Lisqué’s 10-year anniversary show.

Christian Combs posed on the red carpet while holding his sister, Love, who turns 3 next month. He pointed to the cameras on the carpet for his sis to look at.

Quincy Brown — Kim Porter‘s son who Diddy adopted when the two were together — also appeared on the carpet … looking cool in a pair of dark shades and a bright, shining necklace.

However, it was Diddy’s twin daughters — D’Lila and Jessie Combs — who stole the show … walking the runway in matching purple dresses.

The twins — who graduated from high school just a few months ago — circled each other onstage before striding forward one at a time to pose on the edge of the stage.

Photogs took tons of pics as the twins twirled and walked back hand in hand with their siblings looking on.

Of course, Diddy couldn’t attend the event — he’s still locked up awaiting sentencing after a jury found him guilty in July on two federal counts of violating the Mann Act.

He launched another effort to get his conviction either thrown out or to get a new trial … arguing the definition of “prostitution” when the Mann Act was codified in 1910 is far different from its meaning today.