Yeap, I prefer to switch into 3...d5 and accept the catalan etc.
Anti Nimzo Indian

That is NOT the Anti-Nimzo Indian.
The Anti-Nimzo is actually a line of the English Opening - 1.c4 Nf6 2.Nc3 e6 3.Nf3 (3.e4 is the Mikenas-Flohr and 3.d4 allows the Nimzo-Indian)
1.d4 Nf6 2.c4 e6 3.Nf3 does not have a name yet - That is chess.com being stupid again.
After 3.Nf3, you have the following:
3...d5 without 4.g3 - Queen's Gambit Declined
3...d5 with 4.g3 - Catalan
3...b6 - Queen's Indian Defense
3...c5 4.d5 - Modern Benoni (what you played)
3...c5 4.Nc3 (Anti-Benoni)

Incidentally, it really isn't an anti-Nimzo. You played a Benoni but you forgot to take the pawn on d5. The idea is that you take the pawn before white gets a chance to play e4 because if white can recapture with the e-pawn, white then gets an easy game and black has no counter-play. White is a lot better.>>>
Looks like we're in agreement again, although it wasn't a Modern Benoni, Thriller, because he didn't play ...ed in time. It was a Benoni.

Thanks ...but I was.looking for something more general. A video on thematic idea and purpose of both the sides would be helpful. Or if you could share something from your own experience.
Try analyzing Petrosian classics, I believe that those are very instructional if you think the moves over until you understand the logic behind them, luck to you.
i don't think 3 nf3 is technically an anti-nimzo as in some lines white allows the pin anyway. i would suggest 3..d5 as the simplest way to try to get a similar position to the nimzo. if you don't like the exchange variation of the qgd, then your only other choice would be the benoni with 3..c5. this does go well with a dark squared approach in the actual nimzo proper. but if you play the nimzo in a light square fashion then 3..d5 is a better fit. 3..b6 is playable but involves having to learn many dangerous lines since the alphazero innovation of giving away the d-pawn. you can't avoid it whether you go for the ba6 or bb7 line. the line you played in the game is a benoni where piece placement and right move order matters a lot as you are giving up space and allowing white sort of a free hand in the center. if you don't have much time to study these, then stick to 3..d5 for now as the main ideas are more intuitive and does not require too much effort to learn. just remember to play bb4 against nc3 just like the nimzo, and if this is not possible then be7 and develop the kingside, and go for c5 later.

i don't think 3 nf3 is technically an anti-nimzo as in some lines white allows the pin anyway. i would suggest 3..d5 as the simplest way to try to get a similar position to the nimzo. if you don't like the exchange variation of the qgd, then your only other choice would be the benoni with 3..c5. this does go well with a dark squared approach in the actual nimzo proper. but if you play the nimzo in a light square fashion then 3..d5 is a better fit. 3..b6 is playable but involves having to learn many dangerous lines since the alphazero innovation of giving away the d-pawn. you can't avoid it whether you go for the ba6 or bb7 line. the line you played in the game is a benoni where piece placement and right move order matters a lot as you are giving up space and allowing white sort of a free hand in the center. if you don't have much time to study these, then stick to 3..d5 for now as the main ideas are more intuitive and does not require too much effort to learn. just remember to play bb4 against nc3 just like the nimzo, and if this is not possible then be7 and develop the kingside, and go for c5 later.
its only a pin if black plays nc3. (well nbd2 is also a pin but its not a desirable knight to take, you need to do structural damage for the the capture to have adequate compensation). if black plays bb4+ prematurely, white ought to just play bd2 and attempt to trade the problem bishop.
another possibility besides 3.nf3 is 3. g3. 3. a3 is also playable but black equalizes fairly easily after 3.d5 since black changed his formation to a QGD and a3 is superfluous here. They are other passive things that can be tried like 3. e3 or even 3. bf4 but i woudnt recommend them.
White very frequently plays 3.Nf3, often because he wants to avoid the Nimzo! You have a lot of choices here, so you just have to pick one. 3...b6 is called the Queens Indian, and it's quite sound. 3...Bb4+ is called the Bogo-Indian, and it's also sound. Or you can play 3...d5 and transpoe back into the Queens Gambit declined. Or you can play 3...c5, which is what you played in the game. This is the Benoni and it's also quite playable. You can't force White to allow the Nimzo with 3.Nc3, so you need a second opening