它不仅为北京的观众所钟爱，也受到全国人民的喜爱。

It is enjoyed not only by Beijing audience, but also by people all over the country.(这个为正确表达，相同的谓语需要省略避免重复,英语是一门不喜欢重复的语言，如果必须要重复，必须借助代词替代。）

not only...but also...这个结构强调“并列状语”

请问上面这句话可以改成这样：

it is not only enjoyed by Beijing audience, but also enjoyed by people all over the country.

not only...but also...这个结构强调“并列谓语”

not only...but also 是英语中常见的一对连词, 相当汉语的“不仅……而且”。现将其用法归纳如下。

 not only … but also... 和两个部分, 通常必须是对称的并列成分。

(1)连接2个并列主语

Not only Mr Lin but also his son joined the Party two years ago.

不仅林先生而且他的儿子在两年前都入了党。

 (2)连接2个并列谓语

I not only play tennis but also practise shooting.

我不仅打网球, 还练习射击。

(3)连接2个并列宾语

He plays not only the piano but also the violin.

他不仅弹钢琴, 也拉提琴。

(4)连接2个并列表语

She is not only beautiful but also clever.

她不仅漂亮而且还很聪明。

(5)连接2个并列状语

They speak English not only in class but also in the dormitory.

他们不仅在课堂上说英语, 在宿舍里也说。

(6)连接2个句子(第1个分句需要倒装）

 Not only did she finish the task ahead of time,  but also she came to help us.

不仅她提前完成了工作，而且她还帮助我们。

Not only was there no food,  but also there was no water.

不仅没有食物，而且也没有水。

第二句无谓地重复了 enjoy 这个动词，是不妥的。英语的一个特点就是尽量避免重复。所以不该用第二句。

它不仅为北京的观众所钟爱，也受到全国人民的喜爱。

It is enjoyed not only by Beijing audience, but also by people all over the country.

请问上面这句话可以改成这样：

it is not only enjoyed by Beijing audience, but also enjoyed by people all over the country.

【答】not only和but also后面如果有相同的动词，通常应该省略后一个动词。例如：She not only plays the piano, but also the violin. 她不仅弹钢琴，而且还拉小提琴。（摘自《牛津英语用法指南》第三版383节）在 but also 后面省略了 plays 这个动词。

所以，It is not only enjoyed by Beijing audience, but also enjoyed by people 

all over the country.这个句子是错误的。