Hi Arun, you already have a very strong profile. In order to shift to management consulting or strategy, you need to start prepping for case interviews and guesstimates in order to excel in the interviews. You could read up cases on the websites of top consulting firms to get more idea about the management strategy domain. Also work on making your resume more attractive by adding spikes. Even better, you could do an internship in this domain too hoping for a PPO. Stay active on LinkedIn and use your personal connections. Hope this helps.
To get into a management consulting firm after engineering, you would be required to have a structured approach and would be tested on case studies and guesstimates, primarily. There are a number of resources online that you can choose in order to prepare for the same. Seekho also offers a consulting academy membership where you’d get access to all the preparatory material necessary in a concise manner, mentorship from people at MBBs/Big4s etc, industry led professionals for sessions on how to build your resume for consulting, what spikes you should highlight on your resume and definitely a key focus on case study and guesstimates so that you could prepare for the interviews in the most appropriate manner. You can check it out https://seekho.ai/academy/consulting