I wanted to write a little about K’rrik’s lore for you guys but then I looked up some of the details and saw that Wikipedia had the same story that I remember but in more details. I thought you guys might want the extended version.
“He crashed on the Tolarian beach with his ship, and was found and rescued by a young Jhoira. Jhoira was fond of contemplating the ocean and thinking of Shiv. She longed for a strong man like the ones in her tribe of Ghitu. Kerrick was not like the immature boys who roamed the Academy's walls (like Teferi, the magical prodigy who had a crush on Jhoira). Jhoira built a small house on the beach for herself and Kerrick. She was unaware that he was a Phyrexian sleeper agent. At night she would sneak from the academy to visit her secret guest, her secret lover.
Saboteur
One night, Karn, the silver golem, and also Jhoira's only true friend, was wandering about the beach while having been sent back in time a few hours in one of Urza's (here known as Master Malzra) time-traveling experiments. Karn discovered Kerrick and Jhoira but promised to tell no one about them. On another such voyage to the near past, Karn discovered Kerrick stealing blueprints from Urza's lab, and so he followed him, taking advantage of the fact that he was unphased with this "past" world (a side effect of the time machine). Karn followed Kerrick through the secret passage that Jhoira used to sneak out of the Academy. Kerrick unknowingly led Karn into a secret Phyrexian meeting in the woods, where Karn overheard the Phyrexian's plans of invading the Academy.
When Karn returned to the present, he quickly attempted to warn Urza, but it was too late, for the attack was already upon them. Kerrick had brought Phyrexian negators into the Academy. The negators began slaughtering students and teachers alike. Karn fought his way to Jhoira's room, where he found her body covered in blood on the ground. Karn then fought and slew Jhoira's killer, a negator. After killing the negator, Karn returned to Urza and suggested using the time machine to prevent the attack. Urza agreed and sent Karn back in time once more, even though the time machine was near an overload.
Karn was successful in catching the past Kerrick, even breaking his leg in the process. However, Karn was suddenly and forcefully pulled into the present. The time machine had overloaded and malfunctioned. The time machine was casting arcing rays of temporal energy and was instantly aging parts of the lab into dust. Then the machine exploded and caused the great temporal disaster in Tolaria. Urza, using his planeswalker powers, quickly petrified the students and staff closest to him (14 total, including Barrin) and planeswalked away to safety.
Lord of the fortress
Urza, after returning 10 years later, found that Kerrick, the sleeper agent, had survived the anomaly. Kerrick, along with other phyrexians, was trapped in a fast-time rift. In this fast-time rift Kerrick had constructed an enormous Phyrexian fortress and army. Kerrick renamed himself to K'rrik and became the lord of that fortress. From inside this rift he grew his army and devised ways to attack Urza and his team, who were rebuilding the Academy.“
Also K’rrik was never a son of Yawgmoth per se. Not like we think of it. It was a title he gave himself because he thought he deserved it as a lord and since all Phyrexian was now all sons of Yawgmoth basically because Yawgmoth was the entire Phyrexia at the end. Here’s the invasion: