The `Ek Bharat Shreshtha Bharat` programme was launched by the Indian government with an aim to foster a learning environment where states share best practices and experiences. This detail is accurately presented in option 2, making it the correct choice.

Option 1 is incorrect because the `Ek Bharat Shreshtha Bharat` programme was launched in the year 2015 by Prime Minister Narendra Modi, not in the year 2014 as mentioned in the option.

Option 3 carries both incorrect and correct statements, so it cannot be the right answer.

Option 4 is incorrect as it claims neither of the statements is true, while statement 2 is indeed correct. Therefore, the correct answer is option 2, because the aim of the programme is accurately explained in statement 2.