What links "Luluco Space Patrol" and "Kill La Kill"? In the episode 7 of the show Luluco Space Patrol, a lot of references to the anime Kill La Kill are made:


The planet they are visiting is named KLK (initials for Kill La Kill)
The characters are talking about living fibers and how it is necessary to use special scissors to cut them
Some of the characters from Kill La Kill are present, such as the dog and the white clothes in background
The "big excessive titles" we can see in Kill La Kill are present in this episode: 


At 5:20, we can hear the main theme of Kill La Kill
etc.




My question is: what links those two shows? Same editor/writer? What common points link those two anime close enough to  have an entire episode of Luluco dedicated to Kill La Kill?
My question is: what links those two shows? Same editor/writer?


Same everything, pretty much. Both shows are original IPs by Trigger (the animation studio), directed by studio founder Imaishi Hiroyuki, and I assume that many other staff members worked on both shows.

Trigger (or maybe it's just Imaishi) is known to be fond of reference humor - there were, for example, oblique references to Kill la Kill even in Inou Battle wa Nichijou-kei no Naka de, the latter of which was an adaptation of a non-Trigger IP. Given the opportunity to reference one of their own IPs from another of their own IPs - which means they don't have to tiptoe around copyright issues - the results are what you see in episode 7 of Space Patrol Luluco.

In addition to the Kill la Kill thing in episode 7, there's also Little Witch Academia in episode 8; Sex &amp; Violence with Machspeed in episode 9; and Inferno Cop in episode 11. These three things are also original Trigger IPs.