Congratulations on your new opportunities and responsibilities in a new organization. In many companies, the designation matters at the initial level or while coding it in a CV for interviews. The ultimate thing is the responsibilities performed by you, initiatives taken by you, continual and increasing performance level over time, decision-making capabilities, issues resolving methods adopted by you, and so on.
Different companies designate various profiles and designations, and according to their policy, they allot the work or authorities and responsibilities to their employees. If you have gained higher salary jumps, higher authorities, and a lesser designation, then it can't be seen as an issue.
If the above points are not being increased and even your profile or designation has been decreased, then you must think seriously about this matter; otherwise, it's not a big issue.
Best Wishes.
Regards,
Manish Srivastava
ISO Consultant & HR
Correct Certification
(ISO Certification & Management Services)
Varanasi, Uttar Pradesh
[Phone Number Removed For Privacy Reasons]