A module is a group of species that preferentially interacts with each other instead of species outside the module. In Figure 1B, each module is represented by a distinct color.Connectance measures the proportion of interactions taking place in a network out of the total amount of possible interactions meaning members of a module interact more amongst themselves than with other species outside their module. The authors calculated a high connectance within each module, meaning the bird and plants species utilizing the majority of available interactions.
Here there is a mix of two distinct concepts: modularity and connectance. I'd suggest saying: "A module is a group of species that preferentially interact with each other instead of species outside the module. In Figure 1B, each module is represented by a distinct color.
Connectance measures the proportion of interactions taking place in a network out of the total amount of possible interactions. The low connectance observed means that not all possible interactions actually occur in the ecosystem."