When we look up in the sky, we see lots of stars and planets that are really far away. Some of these stars are really, really big and have lots of gas and dust around them, which we call baryonic matter. When we talk about robust associations of massive baryonic objects, we mean that we're looking at groups of these big stars and planets that are all together and staying that way because of gravity.
Imagine you're playing with a bunch of marbles on a flat surface, and you roll one of the marbles towards another one. If the second marble is close enough, it will start to move towards the first one because of the force of gravity between them. This is kind of what happens in space with massive baryonic objects.
When there are enough of these objects close to each other, they can form what we call a robust association. This just means that they're all together and staying that way because the force of gravity between them is stronger than any forces trying to pull them apart.
Scientists study these associations because they can tell us a lot about how the universe formed and evolved over time. They can also help us understand how gravity works on a large scale and how it affects the movement of objects in space.