What version of JFBConnect are you using? Looking at the latest version, there are options for Summary Card, Summary Card with Large Image, App Card, Player Card. You can find them at the JFBConnect backend > Open Graph > Configuration section if you scroll down. Do you not see them or are they not working properly for you?JFBConnect can only generate "Summary Cards", not "Summary Cards with Large Image". Difference is very minor in card tags, but rendering in Twitter is really different.
I would suggest that you add in JFBConnect Open Graph Objects a new parameter:
Twitter Card: Disable / Summary Card / Summary Card with Large Image
I agree there needs to be some reorganization/clarification. I've made a note for this in our tracker.I would even suggest that you rename your "Open Graph" section in JFBConnect configuration to "Social Meta" and change wording in the section to make clear that it's not only about Open Graph, but also about Twitter Cards.
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