The managing director . . . . . . . . Sid to sales manager and ever since then, he . . . . . . . . everybody around.

In the sentence, "The managing director promoted Sid to sales manager and ever since then, he has been bossing everybody around," the past simple tense "promoted" is used to describe an action that happened in the past (the promotion of Sid to sales manager), and the present perfect continuous tense "has been bossing" is used to describe an action that started in the past and is continuing into the present (Sid's ongoing behavior of bossing others around). The context suggests a connection between the two actions.

The correct form for the sentence is "The managing director promoted Sid to sales manager and ever since then, he has been bossing everybody around."

The other options are not suitable because they do not use the correct verb forms or tenses:

Option B: promotes/bosses
This option combines the present simple tense "promotes" with the present simple tense "bosses," which does not accurately convey the sequence of events in the past.

Option C: has promoted/is bossing
This option combines the present perfect tense "has promoted" with the present simple tense "is bossing," which does not accurately convey the ongoing behavior described in the context.

Option D: is promoting/was bossing
This option combines the present continuous tense "is promoting" with the past simple tense "was bossing," which does not accurately convey the connection between the actions.

Option E: was promoting/has bossed
This option combines the past continuous tense "was promoting" with the present perfect tense "has bossed," which does not accurately represent the ongoing behavior described in the context.

Therefore, the correct answer is Option A: promoted/has been bossing.