Figures suggest the recession in the US is over and a recovery underway. Spending by consumers increased for most types of goods and services, including cars.

A recovery underway: the process of getting the economy back to its previous healthy condition has begun

這里要注意下underway的意思.這里的underway是連在一起,也可以分開.be under way這個的習語的意思是"已經開始,在進行中'.

Formal negotiations are under way.
正式談判正在進行.

Our plan is well under way.
我們的計劃正在順利地實施之中.

Preparations are well under way for a week of special events in May.
五月份特別活動周的準備工作已經順利開展.

那么新聞中那句話的意思就是,各項數據表明,美國的經濟衰退已經結束,經濟正在復蘇.