To mean that sales (revenue) continues to increase, the usual phrasing is more like #2, "The company continues growing sales."
The word order can be changed, with the same meaning: "The company's sales continue growing" or "The company continues growing revenue."
The first sentence does seem to say something slightly different -- that the company is growing on the basis of sales. This phrasing is unusual because sales (revenue) is the most common measure of company growth. However, I guess this phrasing might be used in making a comparison. For example: "Company A continues growing on investor funding, while company B continues growing on sales."