Question
I have a small space for lawn around 10 ft x 20 ft
the problem with me is that my house lawn is covered from
the houses all around the lawn dont get the proper sunlight
but i am found of green grass i am still trying from last 10 years but still i am not getting the full green grass
please help me with some working suggestions

Answer
"Experience is the best teacher"... but the fees can be high! I doubt that I can tell you anything that you have not already found out.
But wait. There may be something. A good many qualified people are working tirelessly to develop new and improved varieties of grasses. One of the qualities they look for is 'shade tolerance'. If you live in the US check with the Extension Office for your County. Outside of the US, it will be the Ministry or Department of Agriculture. If there is a University or Agricultural school accessible to you, that will also be an excellent resource.
If no grass vareity is suitable, you might explore the use of ground covers. They provide the visual appeal without the (hard?)work.
Keep trying.