You have a rubber coupler mine has no rubber just splines when mine goes i'm dead in the water.
You didn't mention overheating issues with both engines.
So.... lets start over. What has been done to the boat last? What kind of water do you boat in ? For example elbows changed last ? Impellers changed last ?
Thanks everyone for all your help
Ok so lets start over
Last year was the first year I had this boat.
Splashed the boat in the spring. No leaks a good start

Drove to dock both engines heating up to 220 degrees
Replaced Thermostats - No Change
Installed Impeller Kits - Over heating resolved
Took boat out for first drive past breakwall noticed slipping as heard by increased revs and increase on port side of sync guage.
Asked for advice from multiple sources spun prop identified as likely cause
Changed both props - No Change
Noted Exhaust bellow on Port engine broken
End of season - unable to resolve issue.
This year I had marine mechanic ;
install two new lower shift cables
install two new gimbal bearings
install two new exhaust bellows
install two new drive bellows
install two new water supply hoses
Change drive lube
Took the boat to dock Port engine overheating
Replaced thermostat - No change
Installed impeller kit - resolved over heating
Left my dock to drive to fuel dock;
Port engine fine
Starboard engine overheating
Changed thermostat - no change
Changed Engine circulation pump - no change
Changed impeller - no change
Removed impeller again checked housing seal and plate re-installed - overheating resolved.
Last weekend First time this summer I have been able to get past the breakwall
Engines seem like they are still slipping like last year and as described
starboard engine overheating above 2000 RPM
reduce RPM temp drops
keep RPM up temp goes to 220 on guage drops back to 150
engine still slips at higher RPM
hope this provides a better picture.