The fat and dough layers merged instead of staying separate
Very commonA laminated dough puffs because sheets of fat hold sheets of dough apart until the water in the dough — and in the butter itself — turns to steam and pushes them further apart. The fat has to stay a discrete continuous sheet for that to happen. It stops being one in two opposite ways. Fat that is too warm smears and is absorbed into the dough, leaving a single greasy mass that bakes into something closer to a shortcrust than a puff. Fat that is too cold is brittle rather than plastic, so it shatters under the rolling pin into disconnected shards, and the dough closes around the gaps. BOTH ARE STATE PROBLEMS RATHER THAN TEMPERATURE PROBLEMS, which is why “keep everything cold” is incomplete advice. The fat must be plastic — solid but yielding — and so must the dough, and they must be at similar firmness so the pin moves them together.
What to change
Match the firmness of the fat to the firmness of the dough
Before rolling, press both the fat and the dough. They should take a fingerprint and hold it — firm enough to keep a shape, soft enough to yield without cracking. If the fat is harder than the dough it will shatter into shards; if it is softer it will be squeezed out at the edges. Chilling helps when the fat is too soft and does the opposite of helping when it is too hard, which is why the instruction is to match them rather than to cool them.
Any laminated dough — puff, rough puff, croissant, Danish. It has no bearing on a rubbed-in pastry, where discrete pieces of fat are the aim.
Trade-off: Working at the matched state means working faster, because the window closes as the dough warms. Bakers who prefer very cold fat are trading layer integrity for time, which is a real trade rather than an error.