Is it acceptable to use "has been being" in a sentence?

i think this is incorrect

because been being is not commonly use

No. "Has been being" would make no logical sense given the meaning of the present perfect tense which in se implies a temporary state that one day may or may not come to an end.

Compare:

"Mary has been pregnant for six months" makes sense:

"Mary has been being pregnant" is an illogical statement which makes

no sense since one either is or is not pregnant.

Compare:

"Tom is being funny," a temporary state (an idiomatic use of the present progressive

tense); and "Tom is funny," a personal characteristic (present tense).

"Jack is Ted's biological father," is a statement that makes sense since

fatherhood is, in se, a personal characteristic.

"Jack is being Ted's biological father," is a statement that makes no sense

since fatherhood is a personal characteristic. Even killing one's child

would not change this fact.

The idiomatic meaning of tenses has to be respected. The present tense is

used to express a general truth; the present perfect tense is not. The present

progressive tense may be used to describe a passing state of affairs: "Larry has

been working too hard;" "I have not been drinking enough water."

This is not correct!

Has been is used when somebody has been doing something.

Being is a word that has to be used very carefully, for example, I can not use my car today as it is being serviced.

Being relates to something that happening at the moment!

"been being " is non-existent.  If you expect 'being' to do the job of a progressive case, then 'been' can do and does that as in the following case:

He has been here since last week.

Mr. Y has been learning English since2010. (and to simplify: the verb that is associated with 'been' carries 'ing' form to express progression)

As for 'being' as in passive voice case:

English is being taught by Mr. Z. (Mr.Z is teaching English. (Active))

Well, let me phrase your question; as far as I understand, you want to know whether the passive voice be used for sentences in the present perfect continuous.

As far as I can tell, I understand the present perfect and its passive voice (have/has built, has been built). However, the passive voice of present perfect continuous usually is unclear:

One active: They have been building this house for years. Passive: ???

I got a suggestions of “This house has been being built for years,” but it sounds awkward and I don't recall anywhere else where two be verbs follow one another.

I think this is the right form to use.

Best wishes, 

Engr. S. Aldagether, 

"BEING" can be used with the passive voice for the progressive case and can also be used to describe someone's unusual behavior. I will use the following examples to illustrate:

1. The car is being washed right now. (passive)

2. You are being very active today.

There definitely are other usages for "being".

As for the phrase " has been being", it can be related to the passive voice category; however, the passive voice for the present perfect progressive is non-existent because it doesn't sound sensible.

Grammatically speaking, it is correct. But, this form is not commonly used.

It is ungrammatical simply because verb to be a state verb that is not used in the progressive form.

There is no present perfect continuous form (verb structure) for verb: to be. It's always has been or have been.It's wrong to say has been being or have been being.