Consulting firms take a holistic approach when reviewing applications, so make sure you have at least one experience that speaks to each of the skills consulting firms look for: problem solving/analytics, leadership, and teamwork.
It is less important to show them you have done consulting before (most applicants have had little to no consulting experience) and more important to show them you have the relevant skills to do the job.
It’s also very important for experienced hires to show the recruiting team why they want to pivot to management consulting from their current career path. You must convince them you understand what a career in management consulting is like and have thought through this transition.