Please try to explain yourself as clearly as possible so you receive more helpful responses. You may want to edit your original post for everyones sake.
It seems like your car had its engine swapped or at least the block, and it wasn't done properly. D16Y5 engines only pertain to Civic HXs that have two O2 sensors. Your HX ECU is not getting info back from the second O2 sensor and it may even be miswired to the first. This all depends on whether or not your wiring has been hacked up.
My guess is that they re-used the DX exhaust instead of upgrading to the HX. If you don't see the wiring available for a 2nd O2 sensor to go after the catalytic then you may be in for a project and will have to research wiring diagrams. If you do find the wires, then have a muffler shop weld in an O2 sensor bung (plug) after the cat and get the correct NTK O2 sensors for an HX.
Do keep in mind that even if the engine is all wired correctly with both O2 sensors, it may still need some maintenance for the sluggishness; EGR chamber cleaning, fuel filter replacement, new plugs, valve adjustment, etc. I had some similar sluggishness with my HX while driving up some steep hills and the maintenance and valve adjustment made a huge difference.