We explore theoretically the formation of bound states in the continuum (BICs) in graphene hosting two collinear adatoms situated on different sides of the 
sheet and at the center of the hexagonal cell, where a phantom atom of a fictitious lattice emulates the six carbons of the cell. We verify that in this configuration the local density of states near the Dirac points exhibits two characteristic features: (i) a cubic dependence on energy instead of a linear one for graphene as found in New J. Phys. 16, 013045 (2014), and (ii) the formation of BICs as the aftermath of a destructive Fano interference assisted by the Coulomb correlations in the adatoms. For the geometry in which adatoms are collinear to carbon atoms, we report an absence of BICs.
