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

这里要注意下underway的意思.这里的underway是连在一起,也可以分开.be under way这个的习语的意思是"已经开始,在进行中'.

Formal negotiations are under way.
正式谈判正在进行.

Our plan is well under way.
我们的计划正在顺利地实施之中.

Preparations are well under way for a week of special events in May.
五月份特别活动周的准备工作已经顺利开展.

那么新闻中那句话的意思就是,各项数据表明,美国的经济衰退已经结束,经济正在复苏.