I would not put Bhago and Mangala in one group.
Bhago Khazan Sumi Bhairon Dsa also Urmi's parents when they did child marriage of their children they were under the misconception that they are doing it in the best interests of their children.
When they all realised how wrong they were lives were damaged.
When Anandi refused to go with Bhago she didn't take her refusal to heart but like a true mother that she is she went to Sandhya teacher admitted that she was wrong and asked Sandhya teacher to guide Anandi. That is the reason why Sandhya teacher went to Haweli to meet Anandi.
When Anandi refused her mother's support the mother didn't give up on her.
Both Urmi and Anandi refused to go with their parents when their marriage broke and they chose to stay in with Sasural for the same reason except Anandi put forth her reasons in a milder manner while Urmi was blunt.
As for Anandi and her relationship with her parents post her separation from Jagya was not given the screen time it deserved probably due to the actors unavailability or what ever reasons. But they did convey through conversation that Anandi and her parents were in touch with each other.
Bhago was heart broken but that definitely was not because her daughter choose to stay with Singhs but more to do with what happened to her daughter.
Bhago strongly believed that a woman's world revolves around husband and Sasural.So for her even if her daughter was doing well in life despite broken marriage that was not enough she wanted her child to have a husband and a happy marriage. Anandi knew that her sarpanch ship and social service are not enough to make her mother happy because her mother belonged to old school where a daughter with broken marriage is considered a burden.
In spite of the strained relationship there was a selfless love between Anandi and Bhago.
Mangala can never be like Bhago or even like Urmi's mother. Simply because the child was a toy to play with and not a life which needed to be nurtured.
If Anandi gave in to her mother and married Shiv it was because of the love and trust she had in her mother and her love for her.She knew her mother would never do any harm knowingly and what ever her mother did for her had only been for her good.