How have global sedimentation rates changed over the last billion years?
Sedimentation rate presently varies many orders of magnitude depending on the place you observe. The rate of sedimentation is also different. Some places have continual sedimentation, others have episodic sedimentation events.

That is why charts that show changes in sedimentation rate are usually done for individual sedimentary basins, to determine the basin evolution. This is available for many basins, especially if they are of interest to the hydrocarbon industry.