What are the ways except toys and books in which I can engage my 2 year girl so that she can learn and play both?

SInce you have a little daughter it is so lovely.She's like your BFF !! You can engage her with you in almost all activities. Take her to the vegetable market with you where she can learn about the various vegetables.Colours can also be taught with them.when you come home you can ask her to help you sort them out.That way she'll learn putting like things together.You can also count the number of vegetables you bought.Numbers are learn't that way!! Even just taking a walk in your area will help you teach her a lot. The colour of the sky,the trees,vehicles,people,animals,etc. Popular nursery rhymes can be recited while taking a walk around your building. I have used these methods with both my children and it is surely a fun way to learn things.Hope you enjoy too.All the Best !!!