Hey there,
I'm not sure if this is 'personally engaging' but the way I integrate a critic in my Mod B responses if my analysis is closely linked to what the critic says. So, say I'm analysing Yeats' poem 'Easter 1916' and I just talked about certainty vs uncertainty and I had a critic that also explores this idea, after analysing all three quotes I say something along the lines of "My analysis is supported by critic ____ in the work ______ as s/he states *insert quote*" so I can show that I've had time to gather my opinions on the poems but at the same time link my ideas to a critic to reinforce my opinion... if that makes sense.
Hope this helps!
Welcome to the forums Bliss! 
I think the key to that comment is that they don't want to see a response littered with a tonne of critic quotes. They can be over-used, and what this does is prevents you from presenting a personal viewpoint/critique. What they want is places where you present a concept, or an idea, or an evaluation, that doesn't rely on a critic quote. It's okay to say, "the critic ________ evaluates the significance of this technique in this way," but sometimes (perhaps more often) you need to just come up with your own 'critic quotes,' so to speak 
That helps, thanks guys!
I was doing a bit like "Yeats portrays uncertainty......Psychoanlaytic theory suggests that this may allude to....", so I didn't think I was showing me engaging with it, but I think adding "My analysis" as suggested by owidjaja would be sufficient.
Also, when I mention obscure things like paranoid-schizoid position, would you recommend putting in brackets what it means? I want to show the marker that I did my research, but I don't want the marker to think that I'm just putting it there cause I don't know what it means.