Trials of Osiris will not be popping up in Destiny 2 this week since Bungie cancelled it for the foreseeable future, due to a cooperative exploit.
Trials of Osiris is meant to be the highlight of competitive gaming for PvP fans in Destiny 2 but the way it was implemented left a lot to be desired. Naturally, the player base plummeted and the mode is quite frankly in a horrible state these days. The introduction of Stasis with Beyond Light only made a bad situation worse.
As such, players opted to find better ways to dip into the juicy loot pool of Trials and their efforts culminated on Friday, February 26, 2021. This is when people started equipping Hakke emblems and communicating with the opposing team in order to avoid the slog Trials is today.
In short, any teams interested in a massive cooperative exploit would equip a Hakke emblem on two team members, everyone purchases two Trials passes, one for the Flawless run and the other to be reset on losses.
When two teams with two Hakke emblems each would meet, the third member of each team would add each other on Steam and send a simple message - "/random 10". This is a function that Steam supports and the two players would roll to see who gets the bigger number. The winner gets the win and the losing team swaps to the burner card and collectively leave the match.
This method resulted in a vast amount of players getting Flawless runs on PC, without having to actually play Trials. As a result, Bungie shut the mode down and will keep it that way until they manage to plug this hole in the system.
Considering they didn't announce a fix by March 5, 2021, it's safe to assume such cooperation between opposing teams would be possible and is the reason why Destiny 2 will not see the mode this week either.