Looks like you need something like THIS

I am curious why you went with the Farbwerk and 12VDC common anode analog RGB LEDs instead of a Farbwerk360 (#53279) and 5VDC DRGB LEDs (Aquacomputer RGBpx).The 12VDC LEDs are common anode analog RGB LEDs, which are an older technology.These LEDs can not be individually controlled. The entire LED strip can only produce one color at a time. Different colors are produced by controlling the brightness of the Red, Green, and Blue LEDs in each RGB LED package on the strip by pulse width modulating the cathode connection to ground. The main advantage of 12VDC common anode analog LEDs is that the higher voltage allows longer wire runs from the controller to the LEDs. For installing in something like a night club, wire lengths can be an issue, but inside a computer case the runs are too short for this to matter.

DRGB LEDs were originally devloped by World Semi in 2013. The WS2812 and WS2812B DRGB LEDs use a single-wire, time-based PWM-encoded signal (WS281x protocol) with 24 bits (3 × 8-bit RGB) per LED. Each LED can be individually controlled and can produce16,777,216 different colors. While there’s no hard electrical limit to the number of LEDs, the practical limit is1000 LEDs due to signal degradation and refresh rate. The Farbwerk360 RGBpx ports are limited to 90 LEDs per port, but this is due to power delivery limitations of the Molex 4-pin power connector. I noticed that the 12VDC analog LED strip you bought is white and I don't think any of the DRGB (RGBpx) LED strips Aquacomputer sells are white, so that could be a reason. Since the Farbwerk is a 13-bit device, the 12VDC analog LEDs can theoretically produce more colors: 549,755,816,888 verses 16,777,216 for DRGB LEDs. Since the human eye can only perceive about 10 million colors max, the extra 549,739,036,672 colors do not really matter, although they will do better at producing smooth color gradients at low light levels without color banding.

The other issue is the Farbwerk uses the horrible and notoriously unreliable 4-pin RGB connectors (the part you are mising the mating male connector for). There is no official name for this connector and there is no standard for the diameter of the sockets or the pins in the mating male connector. A common problem is an LED strip from manufacturer A may have pins that are thinner than the sockets on the mating port on a deivice made by manufacturer B. These connectors are so bad that EKWB makes the EK-Loop CMS to prevent the mating connectors from just falling apart. Unfortunately. 5VDC DRGB LED devices also use these connectors, but with 1 pin missing. This is because 12VDC analog LEDs require 4 conductors: +12VDC, and R, G, and B cathodes, but DRGB LEDs only require 5VDC, Data, and Ground. When Aquacomputer developed their DRGB LED platform (RGBpx) they wisely decided not to use this crappy connector, and instead selected the Molex Picoblade #51021-0400 3-pin 1.25mm pitch connectors. The original Farbwek360 only had 4 x Picoblade (RGBpx) connectors. The updated model has the Picoblade (RGBpx) and the stupid 4-pin connectors. They also sell adapters #53285 and #53282.