Peptidoglycan is an essential component of the bacterial cell envelope made of glycan chains substituted by short peptide stems. Peptide stems are polymerised by D,D-transpeptidases, which make bonds between the amino acid in position 4 of a donor stem and the third residue of an acceptor stem (4-3 cross-links). Some bacterial peptidoglycans also contain 3-3 cross-links that are formed by another class of enzymes called L,D-transpeptidases. In this work, we investigate the formation of unusual 1-3 peptidoglycan cross-links present in acetic acid bacteria (Acetobacteraceae). Using a version of the PGFinder software that can identify 1-3 crosslinks, we report the high-resolution peptidoglycan structure of the model organism Gluconobacter oxydans. We reveal that G. oxydans peptidoglycan contains peptide stems made of a single alanine as well as several dipeptide stems with unusual amino acids at their C-terminus. We identify a G. oxydans mutant from a Sudoku transposon library that no longer contains 1-3 crosslinks. Using complementation experiments in G. oxydans and heterologous expression experiments in Escherichia coli, we demonstrate that the enzyme that catalyzes these non-canonical reactions is an L,D-transpeptidase with a domain distantly related to the YkuD domain. This work revisits the enzymatic capabilities of L,D-transpeptidases, a versatile family of enzymes that play a key role in bacterial peptidoglycan remodeling.