The phrase "to satisfy those feelings" means to make yourself or someone else feel better or content by meeting or fulfilling their emotional needs or desires. Full definition
This time management practice has worked so well for me — boosting productivity and giving me that deeply satisfying feeling of accomplishment early in the work day. (careerdigital.com)
Most of us know that sexual compatibility plays an important role in how satisfied we feel with our romantic relationships. (scienceofrelationships.com)
Seeing a good update that fixes things is one of the most satisfying feelings for me, personally. (gameluster.com)