This conversation is so important, as it is a very common situation to have feeding practices differ between home and program.I agree with Lauren that it's such an important step to connect with the family to share information and decision-making. In many cultures, including the Indian culture, adults do hand feed children. There are likely differences in the food itself; not only flavors, but types of food. Traditional Indian food is eaten without utensils, so the child may be managing adjustment to an unfamiliar meal/snack routine, experiencing a sense of discomfort with what is being served, and also noticing differences in how peers are eating.
Before making a decision, ask the family what they would prefer for the child. You mentioned the family has immigrated from India just a few months ago. I'm sure they are dealing with may cultural discontinuities, as well, and they will appreciate your authentic care and support for their child.
I'm not sure if all food is prepared in the program. If so, it's important to let the family know about the specific kinds of foods that are being served. I feel like you can take the time needed to communicate with the family. Without trying to speed up the process or change the child's ways of approaching meals, the child may naturally adopt what other children are doing. But if not, that really is okay. Fine motor skills can be learned in other ways.
Programs should add a question about feeding practices to orientation conversations – but often this topic is overlooked until teachers notice differences in the classroom. I'd love to hear what the family advises. This is a situation we can all learn from. It's wonderful you are offering a safe and welcoming program for this family.