The Bible speaks no word about Matthias after the apostles chose him to replace Judas Iscariot, so we are left with a variety of interpretations to choose from. Perhaps Matthias is actually the fake apostle, despite having eleven other apostles vouch for him. Perhaps Matthias kept his prayers silent, so others would not hear him. Perhaps Paul envied Matthias and wished to be in Matthias' position. This makes sense since Matthias was a real apostle, and Paul was challenged wherever he went. Whatever the case may be, we only see contentions between the apostles and Paul. We do not see contentions between the apostles themselves after Jesus's resurrection.
Alternatively, perhaps Paul is not complaining about Matthias being chosen, but asserting that he, Paul, is better than the other apostles for being chosen personally by God. If this is the case then Paul needs to study what Jesus said,
Either way, Paul's actions in writing these words hinder his reader's trust of the apostles that Jesus chose, thus this action must be looked at unfavorably.
Value of this Evidence
These two verses are a good evidence that Paul is a false apostle. Paul either has contention between himself and the apostles, in violation of Jesus's raising of the law to include not hating anyone, or Paul lacked the humility to be a real apostle.