The thirty-six states (6 x 6 classes of contact) to which beings are attached are described in Salayatana-vibhanga Sutta; I have made a caricature while reading each state as below, states 1, 2, 4 & 5 are easy to understand, however, I'm straggling to clearly identify the two type of equanimity and how they differ.
Quoted below is the definition given for each equanimity states in the Sutta, but it’s not clear to me how the foolish deluded householder equanimity is any different from the other. How do these two people react to a given situation?
I will give an example for the householder equanimity and If possible please try to use the same situation to represent the state of the renunciation equanimity and if possible beyond renunciation equanimity (atammayata) in which there is no act of intention, not even the intention underlying equanimity is said to be present.
For example, a householder loses his beloved son or a wife he could reason and say ‘I know I was only in love with a mortal and what has happened is natural’ and he remains calm without suffering. This equanimity, I take it, doesn’t go beyond form. With a wide open eye as I caricatured his state, he looks into pain and pleasure even death with equanimity without reasoning beyond form. Let them change he is just looking.
"And what are the six kinds of household equanimity? The equanimity that arises when a foolish, deluded person — a run-of-the-mill, untaught person who has not conquered his limitations or the results of action 2 & who is blind to danger  — sees a form with the eye. Such equanimity does not go beyond the form, which is why it is called household equanimity. (Similarly with sounds, smells, tastes, tactile sensations, & ideas.)
"And what are the six kinds of renunciation equanimity? The equanimity that arises when — experiencing the inconstancy of those very forms, their change, fading, & cessation — one sees with right discernment as it actually is that all forms, past or present, are inconstant, stressful, subject to change: This equanimity goes beyond form, which is why it is called renunciation equanimity. (Similarly with sounds, smells, tastes, tactile sensations, & ideas.)
"And what is equanimity coming from multiplicity, dependent on multiplicity? There is equanimity with regard to forms, equanimity with regard to sounds...smells...tastes...tactile sensations [& ideas: this word appears in one of the recensions]. This is equanimity coming from multiplicity, dependent on multiplicity.
"And what is equanimity coming from singleness, dependent on singleness? There is equanimity dependent on the dimension of the infinitude of space, equanimity dependent on the dimension of the infinitude of consciousness... dependent on the dimension of nothingness... dependent on the dimension of neither perception nor non-perception. This is equanimity coming from singleness, dependent on singleness.