Re- Employment for retired Brigadiers' in the Armed Forces

Retd Brigadiers’ to be reinducted
Express news service
Posted: Wed May 12 2010, 02:12 hrs
New Delhi:

With an aim to meet the shortage of officers in the army, the government has approved the re-employment of Brigadiers who have retired from service in staff and instructional posts. The re-employment scheme will now give Brigadier rank officers in the army an opportunity to seek an extra term of two years, taking up their retirement age to 58. At present, the Army is short of more than 200 officers of the rank of Brigadier.
Retd Brigadiers’ to be re inducted
Grant of Re-employment-Revised Procedure

Does this imply that the army is not short of Maj Gens and Lt Gens and stand no chance of re- employment after retirement? Is age the only criteria and not the possession of skill- sets?