Just following this forum, so no proper idea of what's happening. But as far as I know, anu didn't doubt Sneha's paternity. Nothing like S1 happened. Then why on earth this season too Sneha should treat bajaj as her father.
If anupam is the one taking care of her all these years, then she deserves sneha anupam as her name, neither basu nor bajaj. He'll surely be a better father than either of other two.
he DID doubt Sneha's paternity
episode 377 Feb 28th 2020
Anurag alone in his study : he compares RB's signature on some documents with the sign he got from hospital who donated blood to sneha .
Anurag's words :
Bajaj,... Mr. Bajaj ? How is this possible
Mr.Bajaj was ... he died in a plane crash
It means he is alive
he is here
aur uss bachche ke baap hai
Prerna ke bachche ki father "
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same episode , Mohini confronts Prerna about Sneha's paternity
Anurag : toh kya hua agar yeh Mr.Bajaj ki beti hui bhi toh , mujhe iss baath se koi farak nahin padtha she is my child and i love her a lot
Prerna asks Anurag if he thinks this child is Mr.Rishab Bajaj's and not his ?
Anurag: Aisa nahin hai prerna .. I am trying to say .. agar yeh bajaj ki bachchi hui toh bhi usse mujhe koi farak nahin padta ...
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so he did doubt her pregnancy and to top it if at all he saved sneha from that arson and kept her safe it's even more worse n cruel thing to do keep the days old baby away from mom , dad and the entire family . if at all he wanted to keep them both safe .. he shd have just questioned and accused Pre of cheating and Sneha as Bajaj's beti , Pre would have left aise hi with Sneha ... but the brilliant and Intellectual basu decided to push her off the bridge to die and then play god in their lives and separate a new born and her mom