Most Indian food are high in fibre because of the quantity of beans and dals they contain. Served over wholegrain rice the fibre content only goes up. I also usually serve these work homemade chapatti which are made with atta flour (very finely ground wholemeal flour).
So as beans/pulses or dals to your meals, change to wholemeal or brown of things that have that option (rice, pasta, bread, noodles etc) and you should resolve the problem.
Add in whole fruits such as bananas, dates, figs, prunes, apricots, mangoes etc as well. Don't go for juices, they have the sugar content of the fruit but not the fibre. Smoothies are better for you in that aspect.
If you don't like wholemeal bread, wholewheat pasta, brown rice etc try mixing it with white initially and gradually increase the amount into your diet...