@shantanu bro don't copy the word (e.g., TELUGU, CINEMA) from existing logos as these won't come in the final logos. Use your creativity.
I think the logo design is meant to be like & channels. That is why they made it round. I personally like this set of logos better than the existing ones. Don't compare it with Sony sports channels. Those are 10,000 times worse.
Nic in similar way design for 9x channels
New Logo Looks Copy Of Wion Channel's Logo Style + &tv (&Network) Logos.