My 9 month LO still taking puree food now. Anything coarser like porridge, she will cough and vomit everything. How should i do to improve her eating habits?

One step at a time. Once your baby is ready she will be able to slowly accept coarser food or chunky texture. For a start, try cooking your porridge till it's very soft and mushy, this is one way your LO is able to get use to the porridge grainy texture,