The company sells the base currency, EUR, today to the bank and receives USD for value today. Then on spot, it buys EUR back and pays USD to the bank. The short-dated swap is anchored off the spot mid rate.
Today
Usually, on a forward outright, the far leg adjusted by the swap points but because we have come back in time it is the today rate where the adjustment is applied. To calculate the value today rate, we simply add the swap points for O/N and tom/next to the spot rate. First, we reverse the market side of the pips and the signs in front of them before adding them to the spot rate.
Value Today Rate = 1.3792 + ((0.0160 + 0.0260) × 0.0001)
Value Today Rate = 1.379204
Spot Date 
The company pays the mid spot rate of 1.3792.
The company is selling EUR to the bank and buying USD in return. Interest rates are higher in EUR than the USD therefore the bank pays the company 0.0000042 FX points to compensate for the interest differential. The company has sold EUR value today at 1.379204 and bought them back at the cheaper rate of 1.3792 on the spot date.

Short-Dated Outrights  

The treasurer of the German manufacturing company realizes that they also need to make a USD payment value tomorrow, for which it does not have the necessary dollars. The company asks its bank for a price whereby it sells EUR and buys USD in exchange, value tomorrow. In this case the bank will buy EUR and sell USD.
The market prices are as follows: