Workers （主语）//want（谓语动词）// better pay（宾语1),// and(并列连词)// also more people (并列宾语2）//to check British passports （宾语补足语）//after Brexit（时间状语）.

英国退欧后，工人们想要更高的工资，需要更多人员去检查英国护照。

以上句子有2种结构需要搞清楚

(1)主语want sth 意思“主要想要某物”

(2)主语want sb to do sth“主要想要某人做某事”

为了帮助网友更一步搞清楚，我把上面句子补充完成构成1个并列句

Workers want better pay, and also more people to check British passports after Brexit.（主语+谓语动词+宾语1+连词+宾语2+时间状语=构成一个简单句）

Workers want better pay, and they want also more people to check British passports after Brexit.（这是1个并列句）

简单句(1):workers want better pay Brexit(主语+谓语动词+宾语结构）

并列连词：and

简单句(2):they want more people to check British passports after Brexit（主语+谓语动词+宾语+宾补结构：主语 want sb to do sth）