OK, it seems that they work together, the one "pulls" and the other one "pushes" our local group of galaxies, with a 'peculiar flow vector' (the yellow arrow)

^{[1]}of 630 km/s, almost directly away from the Dipole Repeller. The vector is probably the result of a combination of the more local pulls and the big "pullers and pushers" farther out. So what is a 'pusher', or rather a repeller?

I'm no astronomer (not even an amateur one), but as I understand things, astronomers combine the redshift data of the area of interest with other observations, e.g. mass densities, into a computer program to provide a 3D density map, as in the colors of the image. Using this, together with observed redshifts, they then model the motion of near-massless particles that they "seeded" the background with. This gives the flow-arrows as pictured. The animation in https://vimeo.com/189355968 is stunning!

The Dipole Repeller is just the minimum average density point of a large area of under-density, called a 'void'. In terms of gravitational potential, the repeller is a local maximum (gravity 'bump') and the attractor a local minimum (gravity 'well') for the area of interest.

Enjoy! (before we discuss this amazing result further).

Notes:

[1] Peculiar flow is our motion relative to the local inertial frame in which the CMB temperature would be the same in all directions, i.e. isotropic,