Carbon offsets credit programs and fossil fuel emissions capture schemes fall into one of two categories: technical failures or economic frauds.
The technical issue for fossil fuel carbon capture schemes involves conservation of energy. Simply stated, a diesel truck that captures all its emissions as it drives down the road is an obviously implausible scheme, as anyone with even a vague appreciation of how engines work should realize. Clogging the exhaust is the first problem, separating the CO2 (and incomplete combustion products and particulate & inorganic contaminants) from the exhaust stream is the next, and storing the concentrated CO2 is the third.
The only reason these carbon capture systems have been built in practice is to generate a stream of CO2 for enhanced oilfield recovery, a process in which CO2 is injected into aged oil wells because it facilitates recovery of oil from these wells. The CO2/oil mix that comes out is refined as usual and most of the injected CO2 just escapes back to the atmosphere.
The economic fraud all revolves around the technical fact that 'carbon credit' schemes don't offset anything, and in a warming world so-called 'carbon stores' like British Columbian forests have been going up in smoke due to increased wildfires. Similarly cap-and-trade doesn't work; it was originally based on a scheme to clean up sulfur in diesel fuel but the sulfur just ended up in ship bunker fuel (although cities are somewhat cleaner due to the introduction of ultra-low-sulfur diesel fuel).
What's particularly egregious about these schemes is the degree of dishonesty demonstrated by their political and industrial promoters - they know they don't work. For example, production of natural gas is booming to record levels at present while the very politicians and executives responsible for the boom are running around proclaiming how concerned they are about climate and running ads stating their dedication to net-zero. Similarly, even if some coal plants are retired in the US, exports of coal to Asia are rising and production is barely falling.
The fact is there's not a single major fossil fuel producing country or corporation on the planet that has any intention of shutting down production in the forseeable future. This is why countries like China, that have to import most of their fossil fuel, are so far ahead in renewable energy production and technology.