Are there anyone who doesn't believe in Allaah or denies his worship or remembrance among the animal kingdom?
There are a quite a few ayahs from the Quran relevant to this topic. Some of them are:
They say, " Allah has taken a son." Exalted is He! Rather, to Him belongs whatever is in the heavens and the earth. All are devoutly obedient to Him Quran 2:116
Do you not see that Allah is exalted by whomever is within the heavens and the earth and [by] the birds with wings spread [in flight]? Each [of them] has known his [means of] prayer and exalting [Him], and Allah is Knowing of what they do. Quran 24:41
Indeed, We subjected the mountains [to praise] with him [David], exalting [ Allah ] in the [late] afternoon and [after] sunrise. And the birds were assembled, all with him repeating [praises]. Quran 38:18-19
A major difference between humans/jinns and other creations in that we have been granted free will/choice. We can choose to obey or disobey Allah, whereas animals cannot. Everything that they do is a worship to Allah.
And I did not create the jinn and mankind except to worship Me. I do not want from them any provision, nor do I want them to feed Me.Indeed, it is Allah who is the [continual] Provider, the firm possessor of strength. Quran 51:56-58
Beyond this amount of knowledge that we have, only Allah knows.