Summary: A variety of polynomials, including their diverse generalizations, have been investigated. In this paper, we aim to present some (presumably) new identities and relations for the \(\lambda\)-Apostol-Daehee polynomials \(\mathfrak{D}_n(x;\lambda)\) and the \(\lambda\)-Apostol-Daehee polynomials \(\mathfrak{D}^{(k)}_n(x;\lambda)\) of order \(k\), which have been very recently introduced, with (possibly) other polynomials and numbers.