Tamar Braxton -- Fires Back at Chris Brown ... And BTW, Check Out My Music!

Tamar Braxton is no fool -- she's using her new-found notoriety over her beef with Chris Brown to pimp her music ... in-between taking shots at CB and Karrueche Tran.

Braxton fired back at Chris for the barrage of insults that came her way ... in response to Tamar trashing Chris on her show, "The Real."

Toni's sis clearly didn't like being called "ugly" and "a Muppet face ass" ... saying, "u are NOT my MAN or my DADDY so you got me completely F**KED up!...(like your reputation)."

Braxton also questioned Brown's manhood, saying he should have reached out to her personally rather than post his rants -- "Should have and could have picked up the phone!! ...or watched the show for yourself!!! At least that's what REAL men do!"

But the best part ... Tamar managed to plug her music ... "I am fine with all 3 #1 tv shows and making my dreams come true with Love&War and now #letmeknow...which is on iTunes."