Do I need to obtain a minimum score in the English and management aptitude tests to enter the Grande Ecole programme?

No.

For the Grande Ecole programme
For the English tests (TOEIC, TOEFL) or the management aptitude tests (TAGE, GMAT), no minimum score is required to apply.

For the Master in Management (MIM)
For the English tests (TOEIC, TOEFL, IELTS, TOEFL IBT) or the management aptitude tests (TAGE, GMAT, JRE, CAT), no minimum score is required to apply.