Provided herein are FGFR1/KLB targeting agonistic antigen-binding proteins, or fragments thereof, having improved physico-chemical properties. Also provided herein are conjugates comprising an FGFR1/KLB targeting agonistic antigen-binding protein, or a fragment thereof, and at least one GLP-1R agonistic peptide. Further provided are pharmaceutical compositions comprising the antibody (or fragment thereof), or the conjugate provided herein, and the use of the antibody (or fragment thereof), or the use of the conjugate in medicine.