These wires are likely a live feed that are supposed to run to your secondary split point in a traditional circuit. Effectively, what the technician has done here is an atrocity because these wires are supposed to run to the secondary junction for your DSL service, which will be located in the panel to the right of this box.
More or less what needs to be done here is you need to determine which junction point the lines for your DSL service run into. There are several ways of doing this, one of which is trial and error. The bottom ends of these wires will need to be stripped, then re-attached to the junction point to your DSL access box. Remember, these wires are a LIVE A/C circuit and are polarized, so you can actually get an electric shock from touching them directly. Don't be worried though, the shock is not enough to do any kind of damage, even if the telephone line rings. It will only be enough that you'll feel it. If the telephone rings however, again, it will not cause any kind of bodily harm, but if you're touching the bare wire directly (particularly if you're touching both wires at the same time), I can assure you that your hands will VERY quickly come off the wires.
As for the state of the wiring, it is essential to understand a few things. A blue/white wiring suggests that the wires are actually a bridge line, which is used in creating a junction point to multiple different split points. This is most commonly seen in the newer push boxes, such as a 66-block. It also needs to be understood that these wires will have a polarity to them. There is the "tip" is effectively the "hot" wire, while the "ring" is effectively the neutral return wire. The only "down" side to standards is that there are so many to choose from. The breakdown of the standards is as follows:Original "Traditional" Wiring
Original "Traditional" Wiring compared to CAT3 Wiring
Alas, a lot of people now a days prefer to use CAT5 wiring for their wiring. In such a case, the wiring examples will line up as follows:CAT5 Wiring compared to Original "Traditional" Wiring
In the case of the jumper wires that the technician used, assuming that they are at least wired to code, the blue wire will link up either with blue or red, and the white wire will hood up with the blue/white or green wire. The only question that begs to be asked here is which set on the service box will be the link through to the DSL line? The only sure way of telling will involve a tester, which can be purchased from somewhere like Home Depot, Rona, or Lowe's. Tracing this yourself may prove to be the easiest way of saving yourself from a potentially expensive technician visit. Once you can determine where the connection needs to be made, you'll be in business. I hope this helps.