"continued onwards" is a correct and usable phrase in written English.
You can use it when you want to describe a person or thing that is continuing to move forward in some way. For example, "The team continued onwards to the final destination despite their fatigue."
In 1957, Carawan visited the World Youth festival in the Soviet Union and then, with the singer Peggy Seeger, continued onwards to China in defiance of the US government, which temporarily cancelled his passport.
The division continued onwards to Lingga.
Eckoldt continued onwards and reached Narvik on 18 July.
The route continued onwards from Sandefjord to Tønsberg, Larvik and at Skien Airport, Geiteryggen.
Charlemagne herself was moderately damaged during the bombardment and continued onwards to Bizerte for repairs that lasted through May.
The Spanish army rested for a few days, then continued onwards to Huehuetenango only to find it deserted.
But Croatia's own Prime Minister, Zoran Milanovic, has said it would allow refugees to continue onwards.
It was not until Wednesday that Croatia's Prime Minister Zoran Milanovic said it would allow refugees to continue onwards.
Police at the border, who have struggled to control thousands of frustrated refugees desperate to continue onwards at a time of deepening cold, apparently overturned that decision.
Had it played out differently – had Berry decided to continue onwards to a bright future on Channel 4, or even the whole lot of them – one wonders whether they would have drawn such opprobrium.
3 Visit "the most southerly point" and continue onwards passing the lighthouse and the impressive collapsed sea cave, the Lions Den. 4 Shortly after Bass Point coastwatch station, head inland on a farm track.
