The compaction process of cohesive granular materials is a common operation in the manufacturing of various powder-based products. However, the influence of particle-scale parameters such as bond strength on the packing structure and the general scaling of the compaction process are still poorly understood. We use particle dynamics simulations to study jammed configurations resulting from the dynamic compaction of adhesive particles under a fixed compressive pressure, for a broad range of the system parameter values. Through this analysis we identify an asymmetric sigmoidal scaling of porosity with a modified cohesion number. It combines adhesion force, confining pressure, and particle size, as well as contact stiffness, which is often assumed to be ineffective but is shown here to play an essential role for compaction. We propose a functional form based on two power laws to accurately fit to the data. The statistical properties of the bond network reveal self-balancing force structures and exponential decline of the number of both tensile and compressive forces. Remarkably, we find that the properties of the bond network depend more on the cohesion number rather than the modified cohesion number. This suggests that similar bond network characteristics are compatible with a broad range of porosities mainly due to the influence of contact stiffness. We also discuss the reasons of data points deviating from the general scaling of porosity and show that they come either from finite system size or rigid confining walls.