Nice! One thing up front: the accuracy of a patch like this depends on lot on the particular filter and oscillator implementations you use. One of the biggest keys to the Moog sound is the ladder filter. There are various digital implementations of it around. Off the top of my head I'm not sure if there's an off the shelf object for it in the Axo library.
What oscillator you pick depends on how accurately you want to emulate the Minotaur's oscillators. Just having the same shapes, saw and square, is not necessarily going to sound accurate to the original analog implementation.
Adding some kind of overdrive or saturation to this might help improve accuracy.
On modulation: in a traditional subtractive design like this the LFO is almost always modulation the pitch of the oscillator and the cutoff frequency of the filter.
On EG amount: it looks like on the original this is a "depth" knob that is bipolar. Center is 0. It controls how much the envelope modulates the filter cutoff frequency. So in your patch this would be like a bipolar mixer object in between the adsr and the filter pitch/cutoff freq input. What you have is sort of like having the EG amount cranked up all the time.
The LFO can also modulate the same parameter, the filter cutoff frequency, by some scalable amount, so roughly it's like:
cutoff_frequency = cutoff_knob_value + lfo * lfo_amount + env * eg_amount
The oscillators you're using have the "freq" input for audio rate modulation of the pitch. If you stick with them you can use an audio rate LFO into a mixer for "amount" and then into the freq input.