Eg, what is a toddler doing when they force a square peg through a round role? More abstractly, what would you call it when you try to describe something via a model that doesn't really fit, and you make lots of stretches to try and get the situation to make sense with the model.
Eg: "I know we claimed this phenomenon could be described by theory X, but in retrospect we really just <BLANK>ed our observations into theory X's model".
edit: And just as I'm typing this I come up with "shoehorn". I'm pretty sure that's what I was trying to come up with. Still, I'd be interested in knowing if people think that actually does make sense here.