I used to spend my New Year's Eve with my parents.

Another option is "I used to spend New Year's with my parents."

We went each year to their farm and we met with my mom's side of the family.

I don't know why, but I have realized that with the time, my family give less importantce to these moments.

Each year wthere were less, either because of us, for many reasons: my aunt had a discussion with her daughter; my cousin has nail pain; or my brother was so exhausted.

I'm not sure if the original word for "discusion" here was "discusión", but if it was, "argument" might be a better word here. "Discussion" implies a neutral conversation, while "argument" is a more angry one. So if you're aunt and her daughter had disagreements with each other that made them not want to go, "argument" would fit better.

So, the last few years, I wasstarted feeling equalthe same too.,

Connecting this sentence with the next one sounds better.

Bbut I continued going there for my parents.

I'm connecting this sentence with the previous one.

My family says that my parents don't miss a thing, not even an assembling furniture (it's a Colombian joke).

I believed that to spendbeing far away from my Colombian family datefor holidays like New Year's and Christmas willould be sad, but it wasn't like this.

"dates" works too, but in this context I think "holidays" fits better.

I started feeling like them, giving less importance to thatose moments.

I only feel bad tofor my parents, but we are searchlooking to spend more special moments together.