A lot might be happening, depending of the type of baseboard system you have there.
The system might be needing to be flushed, it might've been installed without the proper pitch. These systems depend on gravity to divert water to the sump.
Is there a service opening in the system? Try to pour some water in it and see what happens. The water should go to the pump and it should kick in. If it does, go out to the end of the discharge line and see if water comes out.
If it doesn't you might be having problems with the check valve or the some problem along the discharge line.
It might be that the baseboard system alone will not be sufficient and you will need an actual drain tile installed along the internal perimeter of the wall.
But truly, your best bet is to call the company that installed the system in the first place and demand answers. I hope you had a good waterproofing company install that for you, because they offer lifetime warranty on their waterproofing systems. They are responsible for making it work for as long as the house stands.
Here's an online basement troubleshooting tool that you might find helpful:
Basement Troubleshooting Guide/