#1 It sounds like your marina has been updated it electrical delivery system and is now in compliance with the NEC/NFPA codes which requires an ground fault breaker. An GFI or ELCI is similar to a GFCI except that it is set to trip at 30mA (current code) or 100mA depending upon which version of the code your state is currently using, as opposed to 5mA like the 120V GFCI receptacle in your bathroom.. We need to know if you are tripping a standard shore breaker or a shore ground fault breaker?
#2 You will need to confirm that your Y adapter is not the issue. A GFI trips on a current imbalance between hot and neutral. In other words what is on HOT must be the same as what's on NEUTRAL not to exceed a 5mA, 30mA etc. imbalance. Using the wrong type of Y adapter on a boat, such as feeding a 50A 250V service vessel with a 30A 125V splitter will result in GFI trips. Just because this was done for years under the old code does not mean it will work under the new code where GFI is required on shore.
#3 One of the most common causes of GFI trips is grounded neutrals on-board the boat. A grounded neutral just means your AC Neutral/White wires are connected to AC Grounding/Green somewhere on-board. Even though they may appear not to be bonded you need to physically test for this. Improper inverter and generator wiring are perhaps the number one cause of bonded neutrals as well as DIY or even Fly by Night "Pro's" not knowing what they are doing behind the AC panel.
#4 With two 30A services the other very common mistake is that the neutrals for both services are bonded together. They need to be separate services other than for the AC Green wire.
Beyond these simple confirmations please bring in a professional who knows marine wiring, preferably a certified ABYC electrician.....