区别就是两者都是动词enjoy的非谓语动词形式，具体的不同如下

enjoyed中文意思是喜爱（enjoy 的过去分词）

In the water tank industry enjoyed a high reputation.

enjoying中文意思是欣赏（enjoy 的现在分词）

He had a good job, plenty of money and he was enjoying life in the fast lane.

1.enjoyed和一般过去时连用。例句We enjoyed our selves last night.一般疑问句为Did you enjoy yourselves last night?否定句子是We didn't enjoy ourselves last night.

2.enjoying和现在进行时连用。

3.We are enjoying ourselves in the natural park.

be enjoying表示正在享受，运用现在进行时态，be enjoyed是被享受，是运用被动语态。