Pain in my buttocks that feels like muscle pain in both sides right in my gluteus muscle, it radiates down the back of both my legs into my calves.

Possible disc damage: if disc damage has occurred in lumbar spine , L4-L5 level, the sciatic nerves on either side could be compressed causing pain down legs even upto the gig toes

Causation: Maybe damage to disc, facet joint, sacroiliac joints, lumbar stenosis, bilateral sciatica. These are all speculations, as not feasible to pin down in absence of examination. See your doctor and decide whether a physiatrist or a surgeon is next step. Radiological studies will illuminate.