Those ports are both 1/4 NPT threads. Take those adapters out of there and it will look like this:
View attachment 1716182716
Then get a male 1/4 NPT to 5/16 hose barb fitting for the inlet;
View attachment 1716182722
and then get a male 1/4 NPT to female 1/2 20 UNF fitting for the outlet which will allow you to run a 5/16 hardline (flare fittings) from the pump to the carburetor.
View attachment 1716182721