"Index" is part of the proper noun "Barfi Index," so it's okay as is. "Tool" can be replaced with synonyms like instrument, device. "Public engagement" – engagement could be activity, participation, involvement. "Economic data" – economic can be financial, monetary, fiscal. Data could be information, statistics, figures.
The first sentence is: "The Barfi Index has been used as a tool for public engagement, making economic data more accessible and interesting to a broader audience." barfi index
"By using" as "Through leveraging|By employing|Via utilizing". "common, everyday" as "typical, routine|usual, daily|ordinary, regular". "item like barfi" as "product such as sweet|commodity like dessert|good such as confection". "aimed to make" as "intended to render|sought to present|strived to display". "economic data" as "financial figures|monetary statistics|price statistics". "more accessible and understandable" as "easier to grasp and comprehend|simpler to interpret|clearer for everyone". "general public" as "ordinary citizens|average consumers|common people". "Index" is part of the proper noun "Barfi
It's important to maintain the structure of the sentences even after replacing the words with synonyms. For instance, "Researchers have used the Barfi Index to track inflation rates in India..." should have "Researchers" replaced with Experts and "track" with monitor. "Economic data" – economic can be financial, monetary,