provide with leverage; "We need to leverage this company"
supplement with leverage; "leverage the money that is already available"
This leads to the curious phenomenon in which people say "This company is highly leveraged" thinking that it means something good, when in fact it means "We're up to our eyeballs in debt".
"Leverage" should probably not really be used as a verb, but it is often used in such a way in English, particularly in business.
I don't know if it "should" be used as a verb, but the verb example you give is absolutely standard for business-speak and the noun examples are not.