Sorry to hear Uni isn't feeling well
I'm right handed so when i have to pill a dog or cat i get behind the animal and grab the top of their muzzle with my left hand. My thumb and index finger are right behind the k-9s. I put the pill in between my thumb and index finger of my right hand. Then use the remaining fingers of my right hand to pull down the bottom jaw. I stick my thumb and index fingers with the pill in the mouth and as far back and down the throat as i can reach, then i kinda poke it more with my index finger to push it down further. after getting the pill as far down as i can i quickly close the mouth and hold it shut. then blow in the nose a little to make them swallow. If done correctly the pill is past the point where they can gag and use their tongue to spit it back up.
or you can just get a pill popper.
same principle - getting the pill as far back in the mouth/throat as possible except not using your fingers. i only use those on dogs/cats that are known to bite. just used to doing it with my fingers.