The Russian artillery system, known as the System of 1805, is what I was referring to. That was for the Russians a new artillery system and was in great part developed by Arakcheev. That is confirmed by various sources, including the new work by Livien.
The Gribeauval System was not taken out of service because of the Systeme AN XI or the great numbers of allied artillery that the French captured. The only field pieces of An XI that were produced in any quantity were the 6-pounder and the 5.5-inch howitzer. The 4- and 8-pounders that the new 6-pounder eventually replaced were either put in the French arsenals or were employed in Spain. Through 1809 the 4- and 8-pounders were still being employed by the Army of Germany and as late as 1811 the Guard artillery still had a 4-pounders in their inventory.
It should also be remembered, which usually isn't mentioned, that an artillery system is not merely guns, limbers, caissons, and ancillary vehicles. It is also an education system, together with the training that goes along with it, which has been provided to you along with references to support the material posted. Further the organization, and command and control system that goes along with training and artillery doctrine is also part of the artillery system. Even when the AN XI guns supplemented the Gribeauval System, the central core of the system was still in effect and was the guiding system of the period for the French.