#1.- My international experience includes an in-depth knowledge in developing business in Latin America and management of multinational teams.
or
#2.- My international experience includes in-depth knowledge in developing business in Latin America and managing multinational teams.
You can treat both "management" and"managing" as nouns. " I don't think it sounds quite right to say that your experience includes knowledge. The experience is the stuff you did; the knowledge is what you learned from it.
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You can treat both "management" and"managing" as nouns. In this context, I recommend"managing," so that it parallels "developing."
Another thing you might want to look at is the verb "includes." I don't think it sounds quite right to say that your experience includes knowledge. The experience is the stuff you did; the knowledge is what you learned from it.