Please bear in mind this is my speculation but the dates had puzzled me until this seems the most obvious.
There will be a leap after Asha finds out about Ashish's marriage and her slow descent into madness - at the moment it is shown as being 2006 so a 10yr leap to 2016, I'm guessing and a grown up Avni will still be fighting for her naamkaran.
Like Zakham, Asha will get more and more sick, and Avni will take care of her. I think she will get bitter about love and etc. The second child may go the opposite way, just as in the film.
Not sure yet how Neela will play a part in their lives..
I just wish they showed it all positive but Asah's character comes across as very tragic - so clingy, scared of losing him and so accepts whatever is happening rather than fighting for her rights - which makes me think it will go as above.
I hope I am proven wrong and Ashish and Asha have the ending they deserve.
This show is a good example of how children suffer for their parent's decision, right or wrong. In fact you think you are doing something wrong but without realising it all goes wrong...