This paper ensures an extensive survey of the generalization of the Gauss Fibonacci quaternions especially as part of its enhancing importance in the disciplines of mathematics and physics. The main objectives of our work is to define and study the higher-order Gaussian Fibonacci quaternion GFq(n)((r)), where the components of GF(n)((r)) are higher-order Gaussian Fibonacci numbers GFq(n)((r)). Initially, we obtain the Binet-like formula, some identities for GFq(n)((r)), the recursive relation and the summation formulas for GFq(n)((r)). We have derived the terms with negative indices of GFq(n)((r)), the generating functions, and exponential generating function for higher-order Gaussian Fibonacci quaternions GFq(n)((r)). Additionally, we have obtained some new identities for these types of quaternions by using the special matrices.