Since I completed the secret Lover's path (Gomamon being able to Warp Digivolve), I may be able to help you
Technically just be an overall nice guy, randomly click on the picture to unlock some secret sex scenes, especially after cumming all over him after a "failed" attempt to give him your essence via a clawjob, and again doing the best thing possible to show you care for the future Digislut such as just looking away when the Elecmon are gangraping him and telling him it hurt not to be able to do anything and all should go accordingly
One more thing. To trigger the gate 1 secret sex scene, you need to "fail" clawjob twice and blowjob once then click a few times on the static part to have Gomamon try and "rape" you in your sleep
For the second secret scene, "fail" each sexual activity once and click on the idle screen again until Gomamon has an existential crisis and comfort him.
Make sure to "fail" all 4 sex options and talk thoroughly so you can digitize his Nurse outfit and find out about the crests. Make sure that before the last firewall that you click on the idle screen after giving him the outfit that way you get the whole confession of love scene. It's the best way for him to Warp Digivolve