You could double the resources there and the stretch of coast on that side would never be covered adequately. It is enormous compared to the part of the UK they are destined for.
The answer is and always has been proper processing by the UK on the French side, even then you would face a reduced number trying any way they can. Perhaps realistic expectation management might help but the UK government has no interest in doing anything other than winding up the sort of idiot who thinks these numbers are significant, especially when they are happy to spaff vast fortunes of public money enriching their donors and supporters.
This could easily be managed better, they have no incentive to doing do so while people having it tough here can be placated as long as you make the lives of others even more miserable.