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You can also use Tapcon masonry screws. Pre drill. Countersink if you want to hide screw heads with wood filler or Bondo.
I would suggest construction adhesive which will attach the trim boards while also providing a capillary break between the block and the trim board so that moisture does not wick into the trim boards. I would also suggest installing the trim boards at an angle to shed water away from the house.
So that I can better answer your question, can you further explain what you mean when you say "cap over". I am thinking that perhaps you are referring to the horizontal trim piece between your siding & the top of your foundation, but am not sure.
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