here is a solution using filter and map on the object entries. Object.entries returns an array of [key,value] pairs i.e [["a", 0], ["b", 0], ["c", 2], ["d", 1]] for this example. First I filter out the entries without value 0 after that I map through the result array and return in the format you want

let a = {    a: 0,    b: 0,    c: 2,    d: 1}

let r = Object.entries(a).filter(([k,v]) => v!==0).map(([name,value])=>({name,value}))

console.log(r)

and a solution using reduce
here I'm checking if the value is 0 inside the loop and adding to the accumulator if it is not.
I would recommend reduce as it loops through the entries array only once. While in the first it has to loop separately for the filter and map stages.

let a = {a: 0,b: 0,c: 2,d: 1}

let r = Object.entries(a).reduce((acc,[name,value]) => {
    if(value !==0)acc.push({name,value})
  return acc
},[])

console.log(r)