What do you mean by "interacting with the envelopes"? Do you mean the envelopes are not modified by the CV connections you've made, or that the envelopes are not being triggered at all when you are using the Gate input?
The BSP has pitch, gate and velocity CV out on the two note Seqs, of which you have correctly connected the pitch and gate to the same on the CV inputs on your Mini, leaving you only with Velocity to connect. You can connect the Velocity Out on the BSP to either the VCA or the VCF input on the Mini and that will control the initial levels of each, acting like a velocity mod on the amp or filter levels.