It has recently been reported that the exchange bias (EB) phenomenon in double-perovskite Y 2 CoMnO 6 ceramic arises from additional antiferromagnetic (AFM) clusters formed by the anti-sites of ionic disorders in the dominant ferromagnetic (FM) phase. To extensively examine the role of ionic orders and versatile magnetic interactions, we measure the magnetic properties of Y 2 Co 2 À x Mn x O 6 (x ¼ 1.0-1.9) compounds with different relative ratios of the magnetic ions. Upon increasing the ratio of Mn ions, the FM transition temperature is gradually lowered with a greatly enhanced EB effect for x ! 1.4. The measurement of heat capacity and AC magnetic susceptibility in the compound with x ¼ 1.5 suggests the formation of magnetic cluster-glass state from short-range FM order with comparable AFM clusters generated by the formation of Mn 3þ -O 2À -Mn 3þ bonds. The dependence of the EB effect on the cooling field reveals the maximum EB field at 2 K to be H EB ¼ 3.19 kOe. The large EB effect originates from the adjusted proportions of FM and AFM phases and the improved interfacial pinning of exchange coupling in the cluster-glass state. Our results, based on intricate magnetic correlations and phases, provide essential clues for exploring suitable ceramic compounds for magnetic functional applications.Magnetic devices having composite stacking geometry of different magnetic phases often display exchange bias (EB) effect, which is essential for manipulating magnetic hardness, such as attaining a pinned state of the read head for recording devices and a fixed reference layer for a spin valve as the basis of magnetic random-access memories. [1][2][3][4][5] The EB effect is associated with interfacial exchange interactions between ferromagnetic (FM) and antiferromagnetic (AFM) phases. [6][7][8][9][10] It occurs typically in thin film bilayers, reflected in the unidirectional anisotropy of the AFM layer coupled with interfacial magnetic moments of the FM layer upon cooling to the N eel temperature in an applied magnetic field. [11][12][13][14] Intensive studies of EB effect on core-shell nanostructures have been conducted to find efficient means for nanoscale miniaturization of magnetic devices. [8,[15][16][17][18] Many efforts have been made to realize the EB effect on bulk ceramic materials by taking advantage of a simple synthesis procedure. However, the bulk materials rarely reveal magnetic phase separation along with the desired magnetic anisotropy and hardness in each phase to demonstrate the EB effect. Many reports on bulk ceramics have stated that the EB effects originate from the formation of magnetic cluster-glass composed of interfaces between different magnetic states. [7,[19][20][21][22] Recently, double-perovskite R 2 CoMnO 6 (R ¼ La, . . ., Lu) compounds have been studied due to their fascinating functional properties like magnetocaloric effect, [23] exchange bias effect, [24] and multiferroicity, [25,26] arising from intricate magnetic phases and interactions. In these compounds, the incomplete exchange betw...