Super Lube Multi-Purpose Synthetic Oil w/Syncolon - Waterproof - NSF Rated - Industrial Grade - 3D Printer, Tool & Maintenance Use - Translucent White - Bottle - 4 oz (51004)

The X-axis rods have graphite bearings, so they don't need grease. In fact, the grease actually damages them. The residue you are seeing is the graphite wearing off the bearings. I do find that lubricating the X-axis rods helps, but I do not use grease. I use Super Lube No. 51004. It is a thin oil with syncolon suspended in it. It will NOT damage the graphite bearings, but it will lubricate the rods and smooth out the movement. Edit: To fix you issues, you should thoroughly clean the rods with IPA, then apply a thin layer of the Super Lube No. 51004. After application, you should rerun the input shaper calibration. Also, for the Y-axis and Z-axis I use Super Lube No. 92003. It is a thicker grease with the same Syncolon particles, and it works great for the non-graphite bearings.

https://www.amazon.com/dp/B000UKUHXK?ref_=ppx_hzsearch_conn_dt_b_fed_asin_title_8&th=1

Second pick is a little blurry. But, your nippers appear to have some surface rust along with material degradation. Are you using these for your first or second cut? This may help with preventing additional rust